22110022100000 has 288 divisors, whose sum is σ = 54792111361680. Its totient is φ = 8781742080000.

The previous prime is 22110022099999. The next prime is 22110022100071. The reversal of 22110022100000 is 122001122.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 20587236483856 + 1522785616144 = 4537316^2 + 1234012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19936899446 + ... + 19936900554.

Almost surely, 2^{22110022100000} is an apocalyptic number.

22110022100000 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 22110022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27396055680840).

22110022100000 is an abundant number, since it is smaller than the sum of its proper divisors (32682089261680).

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

22110022100000 is a wasteful number, since it uses less digits than its factorization.

22110022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22110022100000 its reverse (122001122), we get a palindrome (22110144101122).

The spelling of 22110022100000 in words is "twenty-two trillion, one hundred ten billion, twenty-two million, one hundred thousand".