101012120202120 has 128 divisors (see below), whose sum is σ = 311230686925440. Its totient is φ = 26208200263680.

The previous prime is 101012120202061. The next prime is 101012120202127. The reversal of 101012120202120 is 21202021210101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012120202120.

It is not an unprimeable number, because it can be changed into a prime (101012120202127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596487060 + ... + 596656380.

It is an arithmetic number, because the mean of its divisors is an integer number (2431489741605).

Almost surely, 2^{101012120202120} is an apocalyptic number.

101012120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012120202120 is an abundant number, since it is smaller than the sum of its proper divisors (210218566723320).

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

101012120202120 is a wasteful number, since it uses less digits than its factorization.

101012120202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303735 (or 303731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101012120202120 its reverse (21202021210101), we get a palindrome (122214141412221).

The spelling of 101012120202120 in words is "one hundred one trillion, twelve billion, one hundred twenty million, two hundred two thousand, one hundred twenty".