100210102120 has 32 divisors (see below), whose sum is σ = 225510585120. Its totient is φ = 40077311040.

The previous prime is 100210102117. The next prime is 100210102159. The reversal of 100210102120 is 21201012001.

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 = 100210102097 and 100210102106.

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, 34435 + ... + 449005.

It is an arithmetic number, because the mean of its divisors is an integer number (7047205785).

Almost surely, 2^100210102120 is an apocalyptic number.

100210102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210102120 is an abundant number, since it is smaller than the sum of its proper divisors (125300483000).

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

100210102120 is a wasteful number, since it uses less digits than its factorization.

100210102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420625 (or 420621 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100210102120 its reverse (21201012001), we get a palindrome (121411114121).

The spelling of 100210102120 in words is "one hundred billion, two hundred ten million, one hundred two thousand, one hundred twenty".