22121011102112 has 192 divisors, whose sum is σ = 47918909283840. Its totient is φ = 9990596173824.

The previous prime is 22121011102103. The next prime is 22121011102121. The reversal of 22121011102112 is 21120111012122.

It is an interprime number because it is at equal distance from previous prime (22121011102103) and next prime (22121011102121).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010447203 + ... + 2010458205.

It is an arithmetic number, because the mean of its divisors is an integer number (249577652520).

Almost surely, 2^{22121011102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121011102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23959454641920).

22121011102112 is an abundant number, since it is smaller than the sum of its proper divisors (25797898181728).

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

22121011102112 is a wasteful number, since it uses less digits than its factorization.

22121011102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11615 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22121011102112 its reverse (21120111012122), we get a palindrome (43241122114234).

The spelling of 22121011102112 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million, one hundred two thousand, one hundred twelve".