101012100012020 has 24 divisors (see below), whose sum is σ = 212126289333504. Its totient is φ = 40404672517536.

The previous prime is 101012100012001. The next prime is 101012100012029. The reversal of 101012100012020 is 20210001210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012100011992 and 101012100012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012100012029) 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, 5464172 + ... + 15227651.

It is an arithmetic number, because the mean of its divisors is an integer number (8838595388896).

Almost surely, 2^{101012100012020} is an apocalyptic number.

101012100012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012100012020 is an abundant number, since it is smaller than the sum of its proper divisors (111114189321484).

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

101012100012020 is a wasteful number, since it uses less digits than its factorization.

101012100012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20935919 (or 20935917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012100012020 its reverse (20210001210101), we get a palindrome (121222101222121).

The spelling of 101012100012020 in words is "one hundred one trillion, twelve billion, one hundred million, twelve thousand, twenty".