21202101010000 has 50 divisors (see below), whose sum is σ = 51332406779522. Its totient is φ = 8480840400000.

The previous prime is 21202101009959. The next prime is 21202101010033. The reversal of 21202101010000 is 1010120212.

It can be written as a sum of positive squares in 5 ways, for example, as 4236335431696 + 16965765578304 = 2058236^2 + 4118952^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-4 number, since 4×21202101010000⁴ (a number of 54 digits) contains 4444 as substring.

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 9 ways as a sum of consecutive naturals, for example, 1060095051 + ... + 1060115050.

Almost surely, 2^{21202101010000} is an apocalyptic number.

21202101010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202101010000 is an abundant number, since it is smaller than the sum of its proper divisors (30130305769522).

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

21202101010000 is an equidigital number, since it uses as much as digits as its factorization.

21202101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120210129 (or 2120210108 counting only the distinct ones).

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

Adding to 21202101010000 its reverse (1010120212), we get a palindrome (21203111130212).

The spelling of 21202101010000 in words is "twenty-one trillion, two hundred two billion, one hundred one million, ten thousand".