100210200111120 has 320 divisors, whose sum is σ = 360261123240960. Its totient is φ = 22786912512000.

The previous prime is 100210200111113. The next prime is 100210200111157. The reversal of 100210200111120 is 21111002012001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100210200111096 and 100210200111105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4823994 + ... + 14956313.

It is an arithmetic number, because the mean of its divisors is an integer number (1125816010128).

Almost surely, 2^{100210200111120} is an apocalyptic number.

100210200111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210200111120 is an abundant number, since it is smaller than the sum of its proper divisors (260050923129840).

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

100210200111120 is a wasteful number, since it uses less digits than its factorization.

100210200111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19780454 (or 19780448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210200111120 its reverse (21111002012001), we get a palindrome (121321202123121).

The spelling of 100210200111120 in words is "one hundred trillion, two hundred ten billion, two hundred million, one hundred eleven thousand, one hundred twenty".