22121101023000 has 1024 divisors, whose sum is σ = 86227255296000. Its totient is φ = 4610301696000.

The previous prime is 22121101022963. The next prime is 22121101023061. The reversal of 22121101023000 is 32010112122.

It is a super-2 number, since 2×22121101023000² (a number of 27 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 1106543005 + ... + 1106562995.

It is an arithmetic number, because the mean of its divisors is an integer number (84206304000).

Almost surely, 2^{22121101023000} is an apocalyptic number.

22121101023000 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 22121101023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43113627648000).

22121101023000 is an abundant number, since it is smaller than the sum of its proper divisors (64106154273000).

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

22121101023000 is a wasteful number, since it uses less digits than its factorization.

22121101023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20153 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22121101023000 its reverse (32010112122), we get a palindrome (22153111135122).

The spelling of 22121101023000 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, twenty-three thousand".