10021021012000 has 48 divisors (see below), whose sum is σ = 24621648636312. Its totient is φ = 4008408403200.

The previous prime is 10021021011977. The next prime is 10021021012049. The reversal of 10021021012000 is 21012012001.

It can be written as a sum of positive squares in 4 ways, for example, as 466319631376 + 9554701380624 = 682876^2 + 3091068^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252623627 + ... + 1252631626.

Almost surely, 2^{10021021012000} is an apocalyptic number.

10021021012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021021012000 is an abundant number, since it is smaller than the sum of its proper divisors (14600627624312).

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

10021021012000 is an equidigital number, since it uses as much as digits as its factorization.

10021021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505255278 (or 2505255260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021021012000 its reverse (21012012001), we get a palindrome (10042033024001).

It can be divided in two parts, 1002102 and 1012000, that added together give a palindrome (2014102).

The spelling of 10021021012000 in words is "ten trillion, twenty-one billion, twenty-one million, twelve thousand".