22102121101312 has 144 divisors (see below), whose sum is σ = 53304973328880. Its totient is φ = 8973791428608.

The previous prime is 22102121101301. The next prime is 22102121101393. The reversal of 22102121101312 is 21310112120122.

It is a super-2 number, since 2×22102121101312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 22102121101312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3039948 + ... + 7310644.

It is an arithmetic number, because the mean of its divisors is an integer number (370173425895).

Almost surely, 2^{22102121101312} 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 22102121101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26652486664440).

22102121101312 is an abundant number, since it is smaller than the sum of its proper divisors (31202852227568).

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

22102121101312 is an equidigital number, since it uses as much as digits as its factorization.

22102121101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270764 (or 4270725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 22102121101312 its reverse (21310112120122), we get a palindrome (43412233221434).

The spelling of 22102121101312 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-one million, one hundred one thousand, three hundred twelve".