101012012001120 has 96 divisors (see below), whose sum is σ = 347114004894720. Its totient is φ = 24487760483840.

The previous prime is 101012012001119. The next prime is 101012012001157. The reversal of 101012012001120 is 21100210210101.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 101012012001096 and 101012012001105.

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, 9565526160 + ... + 9565536719.

It is an arithmetic number, because the mean of its divisors is an integer number (3615770884320).

Almost surely, 2^{101012012001120} is an apocalyptic number.

101012012001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012012001120 is an abundant number, since it is smaller than the sum of its proper divisors (246101992893600).

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

101012012001120 is a wasteful number, since it uses less digits than its factorization.

101012012001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131062908 (or 19131062900 counting only the distinct ones).

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

Adding to 101012012001120 its reverse (21100210210101), we get a palindrome (122112222211221).

The spelling of 101012012001120 in words is "one hundred one trillion, twelve billion, twelve million, one thousand, one hundred twenty".