101102211200120 has 32 divisors (see below), whose sum is σ = 244978434832320. Its totient is φ = 37330047212160.

The previous prime is 101102211200047. The next prime is 101102211200171. The reversal of 101102211200120 is 21002112201101.

101102211200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101102211200095 and 101102211200104.

It is a congruent number.

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, 97213664096 + ... + 97213665135.

It is an arithmetic number, because the mean of its divisors is an integer number (7655576088510).

Almost surely, 2^{101102211200120} is an apocalyptic number.

101102211200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102211200120 is an abundant number, since it is smaller than the sum of its proper divisors (143876223632200).

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

101102211200120 is a wasteful number, since it uses less digits than its factorization.

101102211200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194427329255 (or 194427329251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102211200120 its reverse (21002112201101), we get a palindrome (122104323401221).

The spelling of 101102211200120 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, two hundred thousand, one hundred twenty".