100210110213120 has 176 divisors, whose sum is σ = 320523892442880. Its totient is φ = 26722019229696.

The previous prime is 100210110213079. The next prime is 100210110213137. The reversal of 100210110213120 is 21312011012001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100210110213120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002021039 + ... + 1002121041.

Almost surely, 2^{100210110213120} is an apocalyptic number.

100210110213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210110213120 is an abundant number, since it is smaller than the sum of its proper divisors (220313782229760).

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

100210110213120 is a wasteful number, since it uses less digits than its factorization.

100210110213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165270 (or 165252 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100210110213120 its reverse (21312011012001), we get a palindrome (121522121225121).

The spelling of 100210110213120 in words is "one hundred trillion, two hundred ten billion, one hundred ten million, two hundred thirteen thousand, one hundred twenty".