100210002111120 has 160 divisors (see below), whose sum is σ = 338904472832640. Its totient is φ = 24292440248320.

The previous prime is 100210002111103. The next prime is 100210002111139. The reversal of 100210002111120 is 21111200012001.

It is a super-2 number, since 2×100210002111120² (a number of 29 digits) contains 22 as substring.

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 = 100210002111096 and 100210002111105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72541426 + ... + 73909934.

It is an arithmetic number, because the mean of its divisors is an integer number (2118152955204).

Almost surely, 2^{100210002111120} is an apocalyptic number.

100210002111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210002111120 is an abundant number, since it is smaller than the sum of its proper divisors (238694470721520).

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

100210002111120 is a wasteful number, since it uses less digits than its factorization.

100210002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396273 (or 1396267 counting only the distinct ones).

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

Adding to 100210002111120 its reverse (21111200012001), we get a palindrome (121321202123121).

The spelling of 100210002111120 in words is "one hundred trillion, two hundred ten billion, two million, one hundred eleven thousand, one hundred twenty".