101012020020 has 144 divisors (see below), whose sum is σ = 311447136000. Its totient is φ = 26496688896.

The previous prime is 101012020009. The next prime is 101012020051. The reversal of 101012020020 is 20020210101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101012019984 and 101012020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708661 + ... + 2745699.

Almost surely, 2^101012020020 is an apocalyptic number.

101012020020 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 101012020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155723568000).

101012020020 is an abundant number, since it is smaller than the sum of its proper divisors (210435115980).

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

101012020020 is a wasteful number, since it uses less digits than its factorization.

101012020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37302 (or 37297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101012020020 its reverse (20020210101), we get a palindrome (121032230121).

The spelling of 101012020020 in words is "one hundred one billion, twelve million, twenty thousand, twenty".