100020120 has 64 divisors (see below), whose sum is σ = 302469120. Its totient is φ = 26457984.

The previous prime is 100020113. The next prime is 100020121. The reversal of 100020120 is 21020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 100020099 and 100020108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11959 + ... + 18521.

It is an arithmetic number, because the mean of its divisors is an integer number (4726080).

Almost surely, 2^100020120 is an apocalyptic number.

100020120 is a gapful number since it is divisible by the number (10) 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 100020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151234560).

100020120 is an abundant number, since it is smaller than the sum of its proper divisors (202449000).

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

100020120 is a wasteful number, since it uses less digits than its factorization.

100020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100020120 is about 10001.0059494033. The cubic root of 100020120 is about 464.1900108629.

Adding to 100020120 its reverse (21020001), we get a palindrome (121040121).

The spelling of 100020120 in words is "one hundred million, twenty thousand, one hundred twenty".