10010001100020 has 96 divisors (see below), whose sum is σ = 28619336527488. Its totient is φ = 2613549975552.

The previous prime is 10010001100009. The next prime is 10010001100081. The reversal of 10010001100020 is 2000110001001.

It is a super-2 number, since 2×10010001100020² (a number of 27 digits) contains 22 as substring.

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 = 10010001099981 and 10010001100008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7740774 + ... + 8940893.

It is an arithmetic number, because the mean of its divisors is an integer number (298118088828).

Almost surely, 2^{10010001100020} is an apocalyptic number.

10010001100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001100020 is an abundant number, since it is smaller than the sum of its proper divisors (18609335427468).

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

10010001100020 is a wasteful number, since it uses less digits than its factorization.

10010001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16681889 (or 16681887 counting only the distinct ones).

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

Adding to 10010001100020 its reverse (2000110001001), we get a palindrome (12010111101021).

The spelling of 10010001100020 in words is "ten trillion, ten billion, one million, one hundred thousand, twenty".