101221111211120 has 80 divisors (see below), whose sum is σ = 235588070505600. Its totient is φ = 40445616288000.

The previous prime is 101221111211117. The next prime is 101221111211137. The reversal of 101221111211120 is 21112111122101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 858481931 + ... + 858599829.

It is an arithmetic number, because the mean of its divisors is an integer number (2944850881320).

Almost surely, 2^{101221111211120} is an apocalyptic number.

101221111211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221111211120 is an abundant number, since it is smaller than the sum of its proper divisors (134366959294480).

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

101221111211120 is a wasteful number, since it uses less digits than its factorization.

101221111211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129174 (or 129168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101221111211120 its reverse (21112111122101), we get a palindrome (122333222333221).

The spelling of 101221111211120 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".