21200011202000 has 80 divisors (see below), whose sum is σ = 51274497128400. Its totient is φ = 8477875443200.

The previous prime is 21200011201981. The next prime is 21200011202033. The reversal of 21200011202000 is 20211000212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10089948955024 + 11110062246976 = 3176468^2 + 3333176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 6649346 + ... + 9306654.

It is an arithmetic number, because the mean of its divisors is an integer number (640931214105).

Almost surely, 2^{21200011202000} is an apocalyptic number.

21200011202000 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 21200011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637248564200).

21200011202000 is an abundant number, since it is smaller than the sum of its proper divisors (30074485926400).

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

21200011202000 is a wasteful number, since it uses less digits than its factorization.

21200011202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661321 (or 2661305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200011202000 its reverse (20211000212), we get a palindrome (21220222202212).

The spelling of 21200011202000 in words is "twenty-one trillion, two hundred billion, eleven million, two hundred two thousand".