101010010000020 has 96 divisors (see below), whose sum is σ = 308561231333376. Its totient is φ = 24485563689600.

The previous prime is 101010009999919. The next prime is 101010010000021. The reversal of 101010010000020 is 20000010010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101010009999963 and 101010010000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010010000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4114665 + ... + 14796975.

It is an arithmetic number, because the mean of its divisors is an integer number (3214179493056).

Almost surely, 2^{101010010000020} is an apocalyptic number.

101010010000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010010000020 is an abundant number, since it is smaller than the sum of its proper divisors (207551221333356).

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

101010010000020 is a wasteful number, since it uses less digits than its factorization.

101010010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696661 (or 10696659 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101010010000020 its reverse (20000010010101), we get a palindrome (121010020010121).

The spelling of 101010010000020 in words is "one hundred one trillion, ten billion, ten million, twenty", and thus it is an aban number.