10120100 has 36 divisors (see below), whose sum is σ = 23256324. Its totient is φ = 3809280.

The previous prime is 10120091. The next prime is 10120109. The reversal of 10120100 is 102101.

It is a happy number.

10120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120091) and next prime (10120109).

It can be written as a sum of positive squares in 6 ways, for example, as 1132096 + 8988004 = 1064^2 + 2998^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1277 + ... + 4676.

It is an arithmetic number, because the mean of its divisors is an integer number (646009).

Almost surely, 2^10120100 is an apocalyptic number.

10120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120100 is an abundant number, since it is smaller than the sum of its proper divisors (13136224).

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

10120100 is a wasteful number, since it uses less digits than its factorization.

10120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10120100 is about 3181.2104614439. The cubic root of 10120100 is about 216.3025310363.

Adding to 10120100 its reverse (102101), we get a palindrome (10222201).

The spelling of 10120100 in words is "ten million, one hundred twenty thousand, one hundred".