101022010020 has 36 divisors (see below), whose sum is σ = 306433430940. Its totient is φ = 26939202624.

The previous prime is 101022010013. The next prime is 101022010051. The reversal of 101022010020 is 20010220101.

101022010020 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 2 ways, for example, as 20765386404 + 80256623616 = 144102^2 + 283296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 101022009984 and 101022010011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280616515 + ... + 280616874.

Almost surely, 2^101022010020 is an apocalyptic number.

101022010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022010020 is an abundant number, since it is smaller than the sum of its proper divisors (205411420920).

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

101022010020 is a wasteful number, since it uses less digits than its factorization.

101022010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561233404 (or 561233399 counting only the distinct ones).

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

Adding to 101022010020 its reverse (20010220101), we get a palindrome (121032230121).

The spelling of 101022010020 in words is "one hundred one billion, twenty-two million, ten thousand, twenty".