22121100010112 has 64 divisors (see below), whose sum is σ = 44263573200000. Its totient is φ = 11011831584768.

The previous prime is 22121100010091. The next prime is 22121100010133. The reversal of 22121100010112 is 21101000112122.

It is an interprime number because it is at equal distance from previous prime (22121100010091) and next prime (22121100010133).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142144439 + ... + 142299977.

It is an arithmetic number, because the mean of its divisors is an integer number (691618331250).

Almost surely, 2^{22121100010112} 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 22121100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22131786600000).

22121100010112 is an abundant number, since it is smaller than the sum of its proper divisors (22142473189888).

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

22121100010112 is a wasteful number, since it uses less digits than its factorization.

22121100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160441 (or 160429 counting only the distinct ones).

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

Adding to 22121100010112 its reverse (21101000112122), we get a palindrome (43222100122234).

The spelling of 22121100010112 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred million, ten thousand, one hundred twelve".