100210022111120 has 40 divisors (see below), whose sum is σ = 232994723216640. Its totient is φ = 40082904017280.

The previous prime is 100210022111029. The next prime is 100210022111123. The reversal of 100210022111120 is 21111220012001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100210022111120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210022111095 and 100210022111104.

It is not an unprimeable number, because it can be changed into a prime (100210022111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14339246 + ... + 20150285.

It is an arithmetic number, because the mean of its divisors is an integer number (5824868080416).

Almost surely, 2^{100210022111120} is an apocalyptic number.

100210022111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210022111120 is an abundant number, since it is smaller than the sum of its proper divisors (132784701105520).

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

100210022111120 is a wasteful number, since it uses less digits than its factorization.

100210022111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34525863 (or 34525857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210022111120 its reverse (21111220012001), we get a palindrome (121321242123121).

The spelling of 100210022111120 in words is "one hundred trillion, two hundred ten billion, twenty-two million, one hundred eleven thousand, one hundred twenty".