101020120020 has 72 divisors (see below), whose sum is σ = 306508852104. Its totient is φ = 26931564288.

The previous prime is 101020119979. The next prime is 101020120027. The reversal of 101020120020 is 20021020101.

101020120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6109298244 + 94910821776 = 78162^2 + 308076^2 .

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 = 101020119984 and 101020120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020120027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625482 + ... + 770238.

Almost surely, 2^101020120020 is an apocalyptic number.

101020120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020120020 is an abundant number, since it is smaller than the sum of its proper divisors (205488732084).

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

101020120020 is a wasteful number, since it uses less digits than its factorization.

101020120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148649 (or 148644 counting only the distinct ones).

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

Adding to 101020120020 its reverse (20021020101), we get a palindrome (121041140121).

The spelling of 101020120020 in words is "one hundred one billion, twenty million, one hundred twenty thousand, twenty".