22100110200000 has 672 divisors, whose sum is σ = 92808834854400. Its totient is φ = 5051445120000.

The previous prime is 22100110199953. The next prime is 22100110200011. The reversal of 22100110200000 is 201100122.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37507671 + ... + 38092329.

It is an arithmetic number, because the mean of its divisors is an integer number (138108385200).

Almost surely, 2^{22100110200000} is an apocalyptic number.

22100110200000 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 22100110200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46404417427200).

22100110200000 is an abundant number, since it is smaller than the sum of its proper divisors (70708724654400).

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

22100110200000 is an frugal number, since it uses more digits than its factorization.

22100110200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584712 (or 584676 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100110200000 its reverse (201100122), we get a palindrome (22100311300122).

The spelling of 22100110200000 in words is "twenty-two trillion, one hundred billion, one hundred ten million, two hundred thousand".