100402120 has 64 divisors (see below), whose sum is σ = 278046720. Its totient is φ = 31774464.

The previous prime is 100402117. The next prime is 100402123. The reversal of 100402120 is 21204001.

It is an interprime number because it is at equal distance from previous prime (100402117) and next prime (100402123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100402097 and 100402106.

It is not an unprimeable number, because it can be changed into a prime (100402123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10152 + ... + 17431.

It is an arithmetic number, because the mean of its divisors is an integer number (4344480).

Almost surely, 2^100402120 is an apocalyptic number.

100402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100402120 is an abundant number, since it is smaller than the sum of its proper divisors (177644600).

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

100402120 is a wasteful number, since it uses less digits than its factorization.

100402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27614 (or 27610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100402120 is about 10020.0858279757. The cubic root of 100402120 is about 464.7802098452.

Adding to 100402120 its reverse (21204001), we get a palindrome (121606121).

The spelling of 100402120 in words is "one hundred million, four hundred two thousand, one hundred twenty".