22010011001000 has 256 divisors, whose sum is σ = 56805091499520. Its totient is φ = 7915564800000.

The previous prime is 22010011000997. The next prime is 22010011001093. The reversal of 22010011001000 is 10011001022.

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 63 ways as a sum of consecutive naturals, for example, 1040996429 + ... + 1041017571.

It is an arithmetic number, because the mean of its divisors is an integer number (221894888670).

Almost surely, 2^{22010011001000} is an apocalyptic number.

22010011001000 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 22010011001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28402545749760).

22010011001000 is an abundant number, since it is smaller than the sum of its proper divisors (34795080498520).

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

22010011001000 is a wasteful number, since it uses less digits than its factorization.

22010011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22213 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22010011001000 its reverse (10011001022), we get a palindrome (22020022002022).

The spelling of 22010011001000 in words is "twenty-two trillion, ten billion, eleven million, one thousand".