10010001000020 has 48 divisors (see below), whose sum is σ = 24029873309568. Its totient is φ = 3431161641600.

The previous prime is 10010000999987. The next prime is 10010001000059. The reversal of 10010001000020 is 2000010001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10010000999968 and 10010001000013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8161406 + ... + 9307445.

It is an arithmetic number, because the mean of its divisors is an integer number (500622360616).

Almost surely, 2^{10010001000020} is an apocalyptic number.

10010001000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001000020 is an abundant number, since it is smaller than the sum of its proper divisors (14019872309548).

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

10010001000020 is a wasteful number, since it uses less digits than its factorization.

10010001000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17472960 (or 17472958 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10010001000020 its reverse (2000010001001), we get a palindrome (12010011001021).

The spelling of 10010001000020 in words is "ten trillion, ten billion, one million, twenty", and thus it is an aban number and an uban number.