22101020002000 has 160 divisors (see below), whose sum is σ = 55457474735520. Its totient is φ = 8508633190400.

The previous prime is 22101020001997. The next prime is 22101020002027. The reversal of 22101020002000 is 20002010122.

It can be written as a sum of positive squares in 16 ways, for example, as 13411943221824 + 8689076780176 = 3662232^2 + 2947724^2 .

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, 17784972 + ... + 18987028.

It is an arithmetic number, because the mean of its divisors is an integer number (346609217097).

Almost surely, 2^{22101020002000} is an apocalyptic number.

22101020002000 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 22101020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27728737367760).

22101020002000 is an abundant number, since it is smaller than the sum of its proper divisors (33356454733520).

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

22101020002000 is a wasteful number, since it uses less digits than its factorization.

22101020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202426 (or 1202410 counting only the distinct ones).

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

Adding to 22101020002000 its reverse (20002010122), we get a palindrome (22121022012122).

The spelling of 22101020002000 in words is "twenty-two trillion, one hundred one billion, twenty million, two thousand".