21002200102000 has 160 divisors (see below), whose sum is σ = 54768921689664. Its totient is φ = 7743429504000.

The previous prime is 21002200101983. The next prime is 21002200102027. The reversal of 21002200102000 is 20100220012.

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

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, 17381502 + ... + 18550498.

Almost surely, 2^{21002200102000} is an apocalyptic number.

21002200102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27384460844832).

21002200102000 is an abundant number, since it is smaller than the sum of its proper divisors (33766721587664).

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

21002200102000 is a wasteful number, since it uses less digits than its factorization.

21002200102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169724 (or 1169708 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21002200102000 its reverse (20100220012), we get a palindrome (21022300322012).

The spelling of 21002200102000 in words is "twenty-one trillion, two billion, two hundred million, one hundred two thousand".