100022122012120 has 128 divisors (see below), whose sum is σ = 284133202790400. Its totient is φ = 30781096819200.

The previous prime is 100022122012069. The next prime is 100022122012139. The reversal of 100022122012120 is 21210221220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022122012094 and 100022122012103.

It is a congruent number.

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, 205292851 + ... + 205779490.

It is an arithmetic number, because the mean of its divisors is an integer number (2219790646800).

Almost surely, 2^{100022122012120} is an apocalyptic number.

100022122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022122012120 is an abundant number, since it is smaller than the sum of its proper divisors (184111080778280).

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

100022122012120 is a wasteful number, since it uses less digits than its factorization.

100022122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411072449 (or 411072445 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100022122012120 its reverse (21210221220001), we get a palindrome (121232343232121).

The spelling of 100022122012120 in words is "one hundred trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred twenty".