101012020011120 has 80 divisors (see below), whose sum is σ = 315058349653632. Its totient is φ = 26771283820800.

The previous prime is 101012020011083. The next prime is 101012020011167. The reversal of 101012020011120 is 21110020210101.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101012020011096 and 101012020011105.

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, 1291014306 + ... + 1291092545.

Almost surely, 2^{101012020011120} is an apocalyptic number.

101012020011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012020011120 is an abundant number, since it is smaller than the sum of its proper divisors (214046329642512).

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

101012020011120 is a wasteful number, since it uses less digits than its factorization.

101012020011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582107030 (or 2582107024 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012020011120 its reverse (21110020210101), we get a palindrome (122122040221221).

The spelling of 101012020011120 in words is "one hundred one trillion, twelve billion, twenty million, eleven thousand, one hundred twenty".