101012210020120 has 96 divisors (see below), whose sum is σ = 264453979431600. Its totient is φ = 34623590652672.

The previous prime is 101012210020109. The next prime is 101012210020133. The reversal of 101012210020120 is 21020012210101.

It is a self number, because there is not a number n which added to its sum of digits gives 101012210020120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587994 + ... + 14225686.

Almost surely, 2^{101012210020120} is an apocalyptic number.

101012210020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012210020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132226989715800).

101012210020120 is an abundant number, since it is smaller than the sum of its proper divisors (163441769411480).

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

101012210020120 is a wasteful number, since it uses less digits than its factorization.

101012210020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641497 (or 13641486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101012210020120 its reverse (21020012210101), we get a palindrome (122032222230221).

The spelling of 101012210020120 in words is "one hundred one trillion, twelve billion, two hundred ten million, twenty thousand, one hundred twenty".