100201022122120 has 64 divisors (see below), whose sum is σ = 232375679504640. Its totient is φ = 38868094406400.

The previous prime is 100201022122087. The next prime is 100201022122133. The reversal of 100201022122120 is 21221220102001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100201022122094 and 100201022122103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289023892 + ... + 289370371.

It is an arithmetic number, because the mean of its divisors is an integer number (3630869992260).

Almost surely, 2^{100201022122120} is an apocalyptic number.

100201022122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201022122120 is an abundant number, since it is smaller than the sum of its proper divisors (132174657382520).

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

100201022122120 is a wasteful number, since it uses less digits than its factorization.

100201022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578394406 (or 578394402 counting only the distinct ones).

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

Adding to 100201022122120 its reverse (21221220102001), we get a palindrome (121422242224121).

The spelling of 100201022122120 in words is "one hundred trillion, two hundred one billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".