21202101022000 has 160 divisors (see below), whose sum is σ = 51507357318144. Its totient is φ = 8441074400000.

The previous prime is 21202101021887. The next prime is 21202101022009. The reversal of 21202101022000 is 22010120212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21202101022009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746459799 + ... + 746488201.

Almost surely, 2^{21202101022000} is an apocalyptic number.

21202101022000 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 21202101022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25753678659072).

21202101022000 is an abundant number, since it is smaller than the sum of its proper divisors (30305256296144).

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

21202101022000 is a wasteful number, since it uses less digits than its factorization.

21202101022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30164 (or 30148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21202101022000 its reverse (22010120212), we get a palindrome (21224111142212).

The spelling of 21202101022000 in words is "twenty-one trillion, two hundred two billion, one hundred one million, twenty-two thousand".