22101122022000 has 320 divisors, whose sum is σ = 81979717248000. Its totient is φ = 5017779686400.

The previous prime is 22101122021989. The next prime is 22101122022011. The reversal of 22101122022000 is 22022110122.

It is an interprime number because it is at equal distance from previous prime (22101122021989) and next prime (22101122022011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 4492171 + ... + 8023829.

It is an arithmetic number, because the mean of its divisors is an integer number (256186616400).

Almost surely, 2^{22101122022000} is an apocalyptic number.

22101122022000 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 22101122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40989858624000).

22101122022000 is an abundant number, since it is smaller than the sum of its proper divisors (59878595226000).

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

22101122022000 is a wasteful number, since it uses less digits than its factorization.

22101122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531841 (or 3531825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22101122022000 its reverse (22022110122), we get a palindrome (22123144132122).

The spelling of 22101122022000 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, twenty-two thousand".