101002200020 has 24 divisors (see below), whose sum is σ = 214487821800. Its totient is φ = 39946936832.

The previous prime is 101002199999. The next prime is 101002200029. The reversal of 101002200020 is 20002200101.

It can be written as a sum of positive squares in 4 ways, for example, as 16901040016 + 84101160004 = 130004^2 + 290002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101002199980 and 101002200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002200029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28369625 + ... + 28373184.

It is an arithmetic number, because the mean of its divisors is an integer number (8936992575).

Almost surely, 2^101002200020 is an apocalyptic number.

101002200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002200020 is an abundant number, since it is smaller than the sum of its proper divisors (113485621780).

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

101002200020 is a wasteful number, since it uses less digits than its factorization.

101002200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56742907 (or 56742905 counting only the distinct ones).

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

Adding to 101002200020 its reverse (20002200101), we get a palindrome (121004400121).

The spelling of 101002200020 in words is "one hundred one billion, two million, two hundred thousand, twenty".