10222202102112 has 480 divisors, whose sum is σ = 40364603161344. Its totient is φ = 2450877004800.

The previous prime is 10222202102087. The next prime is 10222202102137. The reversal of 10222202102112 is 21120120222201.

It is a happy number.

10222202102112 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 210 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10222202102087) and next prime (10222202102137).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 624687 + ... + 4564497.

Almost surely, 2^{10222202102112} is an apocalyptic number.

10222202102112 is a gapful number since it is divisible by the number (12) 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 10222202102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20182301580672).

10222202102112 is an abundant number, since it is smaller than the sum of its proper divisors (30142401059232).

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

10222202102112 is a wasteful number, since it uses less digits than its factorization.

10222202102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939864 (or 3939847 counting only the distinct ones).

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

Adding to 10222202102112 its reverse (21120120222201), we get a palindrome (31342322324313).

The spelling of 10222202102112 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, one hundred two thousand, one hundred twelve".