100022102001120 has 192 divisors, whose sum is σ = 340215420815424. Its totient is φ = 24554816962560.

The previous prime is 100022102001061. The next prime is 100022102001191. The reversal of 100022102001120 is 21100201220001.

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 = 100022102001096 and 100022102001105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19159321 + ... + 23814360.

It is an arithmetic number, because the mean of its divisors is an integer number (1771955316747).

Almost surely, 2^{100022102001120} is an apocalyptic number.

100022102001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022102001120 is an abundant number, since it is smaller than the sum of its proper divisors (240193318814304).

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

100022102001120 is a wasteful number, since it uses less digits than its factorization.

100022102001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42974085 (or 42974077 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100022102001120 its reverse (21100201220001), we get a palindrome (121122303221121).

The spelling of 100022102001120 in words is "one hundred trillion, twenty-two billion, one hundred two million, one thousand, one hundred twenty".