100022111101120 has 112 divisors (see below), whose sum is σ = 257233967827200. Its totient is φ = 36825420312576.

The previous prime is 100022111101063. The next prime is 100022111101123. The reversal of 100022111101120 is 21101111220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100022111101120.

It is not an unprimeable number, because it can be changed into a prime (100022111101123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32994832 + ... + 35898511.

It is an arithmetic number, because the mean of its divisors is an integer number (2296731855600).

Almost surely, 2^{100022111101120} is an apocalyptic number.

100022111101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022111101120 is an abundant number, since it is smaller than the sum of its proper divisors (157211856726080).

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

100022111101120 is a wasteful number, since it uses less digits than its factorization.

100022111101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68893722 (or 68893712 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100022111101120 its reverse (21101111220001), we get a palindrome (121123222321121).

The spelling of 100022111101120 in words is "one hundred trillion, twenty-two billion, one hundred eleven million, one hundred one thousand, one hundred twenty".