1012210021000 has 32 divisors (see below), whose sum is σ = 2368571451480. Its totient is φ = 404884008000.

The previous prime is 1012210020979. The next prime is 1012210021007. The reversal of 1012210021000 is 1200122101.

1012210021000 is digitally balanced in base 2, 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 4 ways, for example, as 109782219556 + 902427801444 = 331334^2 + 949962^2 .

It is a super-2 number, since 2×1012210021000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1012210021007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506104011 + ... + 506106010.

Almost surely, 2^{1012210021000} is an apocalyptic number.

1012210021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012210021000 is an abundant number, since it is smaller than the sum of its proper divisors (1356361430480).

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

1012210021000 is a wasteful number, since it uses less digits than its factorization.

1012210021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012210042 (or 1012210028 counting only the distinct ones).

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

Adding to 1012210021000 its reverse (1200122101), we get a palindrome (1013410143101).

The spelling of 1012210021000 in words is "one trillion, twelve billion, two hundred ten million, twenty-one thousand".