100202120 has 32 divisors (see below), whose sum is σ = 230256000. Its totient is φ = 39227328.

The previous prime is 100202117. The next prime is 100202147. The reversal of 100202120 is 21202001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100202098 and 100202107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24770 + ... + 28529.

It is an arithmetic number, because the mean of its divisors is an integer number (7195500).

Almost surely, 2^100202120 is an apocalyptic number.

100202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202120 is an abundant number, since it is smaller than the sum of its proper divisors (130053880).

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

100202120 is a wasteful number, since it uses less digits than its factorization.

100202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53357 (or 53353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100202120 is about 10010.1008985924. The cubic root of 100202120 is about 464.4713922198.

Adding to 100202120 its reverse (21202001), we get a palindrome (121404121).

The spelling of 100202120 in words is "one hundred million, two hundred two thousand, one hundred twenty".