22102002212112 has 120 divisors (see below), whose sum is σ = 62079013563840. Its totient is φ = 7340679924480.

The previous prime is 22102002212093. The next prime is 22102002212141. The reversal of 22102002212112 is 21121220020122.

It is a happy number.

22102002212112 is a `hidden beast` number, since 2 + 210 + 20 + 0 + 221 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55523773 + ... + 55920419.

It is an arithmetic number, because the mean of its divisors is an integer number (517325113032).

Almost surely, 2^{22102002212112} 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 22102002212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31039506781920).

22102002212112 is an abundant number, since it is smaller than the sum of its proper divisors (39977011351728).

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

22102002212112 is a wasteful number, since it uses less digits than its factorization.

22102002212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398061 (or 398052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102002212112 its reverse (21121220020122), we get a palindrome (43223222232234).

The spelling of 22102002212112 in words is "twenty-two trillion, one hundred two billion, two million, two hundred twelve thousand, one hundred twelve".