22122100110000 has 400 divisors, whose sum is σ = 77933791203840. Its totient is φ = 5360964480000.

The previous prime is 22122100109983. The next prime is 22122100110107. The reversal of 22122100110000 is 1100122122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1029259254 + ... + 1029280746.

Almost surely, 2^{22122100110000} is an apocalyptic number.

22122100110000 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 22122100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966895601920).

22122100110000 is an abundant number, since it is smaller than the sum of its proper divisors (55811691093840).

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

22122100110000 is a wasteful number, since it uses less digits than its factorization.

22122100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24654 (or 24633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22122100110000 its reverse (1100122122), we get a palindrome (22123200232122).

The spelling of 22122100110000 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred million, one hundred ten thousand".