100022100111120 has 160 divisors (see below), whose sum is σ = 356059533588480. Its totient is φ = 22971582789120.

The previous prime is 100022100111083. The next prime is 100022100111161. The reversal of 100022100111120 is 21111001220001.

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 = 100022100111096 and 100022100111105.

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, 996980344 + ... + 997080663.

It is an arithmetic number, because the mean of its divisors is an integer number (2225372084928).

Almost surely, 2^{100022100111120} is an apocalyptic number.

100022100111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022100111120 is an abundant number, since it is smaller than the sum of its proper divisors (256037433477360).

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

100022100111120 is a wasteful number, since it uses less digits than its factorization.

100022100111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994061053 (or 1994061047 counting only the distinct ones).

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

Adding to 100022100111120 its reverse (21111001220001), we get a palindrome (121133101331121).

The spelling of 100022100111120 in words is "one hundred trillion, twenty-two billion, one hundred million, one hundred eleven thousand, one hundred twenty".