100120512 has 112 divisors (see below), whose sum is σ = 276628352. Its totient is φ = 31933440.

The previous prime is 100120511. The next prime is 100120513. The reversal of 100120512 is 215021001.

It is an interprime number because it is at equal distance from previous prime (100120511) and next prime (100120513).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553062 + ... + 553242.

It is an arithmetic number, because the mean of its divisors is an integer number (2469896).

Almost surely, 2^100120512 is an apocalyptic number.

100120512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138314176).

100120512 is an abundant number, since it is smaller than the sum of its proper divisors (176507840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100120512 is a wasteful number, since it uses less digits than its factorization.

100120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 100120512 is about 10006.0237857003. The cubic root of 100120512 is about 464.3452642287.

Adding to 100120512 its reverse (215021001), we get a palindrome (315141513).

The spelling of 100120512 in words is "one hundred million, one hundred twenty thousand, five hundred twelve".