100022011120 has 40 divisors (see below), whose sum is σ = 235826557920. Its totient is φ = 39445297920.

The previous prime is 100022011109. The next prime is 100022011129. The reversal of 100022011120 is 21110220001.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100022011097 and 100022011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022011129) 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, 8799075 + ... + 8810434.

It is an arithmetic number, because the mean of its divisors is an integer number (5895663948).

Almost surely, 2^100022011120 is an apocalyptic number.

100022011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022011120 is an abundant number, since it is smaller than the sum of its proper divisors (135804546800).

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

100022011120 is a wasteful number, since it uses less digits than its factorization.

100022011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17609593 (or 17609587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100022011120 its reverse (21110220001), we get a palindrome (121132231121).

The spelling of 100022011120 in words is "one hundred billion, twenty-two million, eleven thousand, one hundred twenty".