101012020211120 has 40 divisors (see below), whose sum is σ = 234868401686400. Its totient is φ = 40402149212160.

The previous prime is 101012020211111. The next prime is 101012020211173. The reversal of 101012020211120 is 21112020210101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101012020211095 and 101012020211104.

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, 40321361 + ... + 42753200.

It is an arithmetic number, because the mean of its divisors is an integer number (5871710042160).

Almost surely, 2^{101012020211120} is an apocalyptic number.

101012020211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012020211120 is an abundant number, since it is smaller than the sum of its proper divisors (133856381475280).

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

101012020211120 is a wasteful number, since it uses less digits than its factorization.

101012020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83089773 (or 83089767 counting only the distinct ones).

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

Adding to 101012020211120 its reverse (21112020210101), we get a palindrome (122124040421221).

The spelling of 101012020211120 in words is "one hundred one trillion, twelve billion, twenty million, two hundred eleven thousand, one hundred twenty".