101012122221020 has 24 divisors (see below), whose sum is σ = 212128655411904. Its totient is φ = 40404239603136.

The previous prime is 101012122221007. The next prime is 101012122221029. The reversal of 101012122221020 is 20122221210101.

It is a self number, because there is not a number n which added to its sum of digits gives 101012122221020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012122221029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36719684 + ... + 39374603.

It is an arithmetic number, because the mean of its divisors is an integer number (8838693975496).

Almost surely, 2^{101012122221020} is an apocalyptic number.

101012122221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012122221020 is an abundant number, since it is smaller than the sum of its proper divisors (111116533190884).

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

101012122221020 is a wasteful number, since it uses less digits than its factorization.

101012122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76160669 (or 76160667 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101012122221020 its reverse (20122221210101), we get a palindrome (121134343431121).

The spelling of 101012122221020 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".