101201122120 has 32 divisors (see below), whose sum is σ = 260231457600. Its totient is φ = 34697527488.

The previous prime is 101201122117. The next prime is 101201122133. The reversal of 101201122120 is 21221102101.

It is a self number, because there is not a number n which added to its sum of digits gives 101201122120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180716010 + ... + 180716569.

It is an arithmetic number, because the mean of its divisors is an integer number (8132233050).

Almost surely, 2^101201122120 is an apocalyptic number.

101201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201122120 is an abundant number, since it is smaller than the sum of its proper divisors (159030335480).

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

101201122120 is a wasteful number, since it uses less digits than its factorization.

101201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361432597 (or 361432593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101201122120 its reverse (21221102101), we get a palindrome (122422224221).

The spelling of 101201122120 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".