21001020101000 has 64 divisors (see below), whose sum is σ = 49529335265280. Its totient is φ = 8334263044800.

The previous prime is 21001020100993. The next prime is 21001020101123. The reversal of 21001020101000 is 10102010012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82554182 + ... + 82808181.

It is an arithmetic number, because the mean of its divisors is an integer number (773895863520).

Almost surely, 2^{21001020101000} is an apocalyptic number.

21001020101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001020101000 is an abundant number, since it is smaller than the sum of its proper divisors (28528315164280).

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

21001020101000 is a wasteful number, since it uses less digits than its factorization.

21001020101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165362511 (or 165362497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21001020101000 its reverse (10102010012), we get a palindrome (21011122111012).

The spelling of 21001020101000 in words is "twenty-one trillion, one billion, twenty million, one hundred one thousand".