22101212111000 has 256 divisors, whose sum is σ = 57786753024000. Its totient is φ = 7842242688000.

The previous prime is 22101212110981. The next prime is 22101212111023. The reversal of 22101212111000 is 11121210122.

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, 496154729 + ... + 496199271.

It is an arithmetic number, because the mean of its divisors is an integer number (225729504000).

Almost surely, 2^{22101212111000} is an apocalyptic number.

22101212111000 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 22101212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28893376512000).

22101212111000 is an abundant number, since it is smaller than the sum of its proper divisors (35685540913000).

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

22101212111000 is a wasteful number, since it uses less digits than its factorization.

22101212111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45667 (or 45653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22101212111000 its reverse (11121210122), we get a palindrome (22112333321122).

The spelling of 22101212111000 in words is "twenty-two trillion, one hundred one billion, two hundred twelve million, one hundred eleven thousand".