22021000001000 has 512 divisors, whose sum is σ = 70873573155840. Its totient is φ = 6181171200000.

The previous prime is 22021000000981. The next prime is 22021000001057. The reversal of 22021000001000 is 10000012022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40772720 + ... + 41309280.

It is an arithmetic number, because the mean of its divisors is an integer number (138424947570).

Almost surely, 2^{22021000001000} is an apocalyptic number.

22021000001000 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 22021000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35436786577920).

22021000001000 is an abundant number, since it is smaller than the sum of its proper divisors (48852573154840).

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

22021000001000 is a wasteful number, since it uses less digits than its factorization.

22021000001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536654 (or 536640 counting only the distinct ones).

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

Adding to 22021000001000 its reverse (10000012022), we get a palindrome (22031000013022).

The spelling of 22021000001000 in words is "twenty-two trillion, twenty-one billion, one thousand".