10102202222112 has 1440 divisors, whose sum is σ = 42992812558080. Its totient is φ = 2279559905280.

The previous prime is 10102202222051. The next prime is 10102202222173. The reversal of 10102202222112 is 21122220220101.

It is a happy number.

10102202222112 is a `hidden beast` number, since 1 + 0 + 10 + 220 + 222 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10102202222051) and next prime (10102202222173).

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 239 ways as a sum of consecutive naturals, for example, 308740089 + ... + 308772807.

It is an arithmetic number, because the mean of its divisors is an integer number (29856119832).

Almost surely, 2^{10102202222112} is an apocalyptic number.

10102202222112 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 10102202222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21496406279040).

10102202222112 is an abundant number, since it is smaller than the sum of its proper divisors (32890610335968).

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

10102202222112 is a wasteful number, since it uses less digits than its factorization.

10102202222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32796 (or 32772 counting only the distinct ones).

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

Adding to 10102202222112 its reverse (21122220220101), we get a palindrome (31224422442213).

The spelling of 10102202222112 in words is "ten trillion, one hundred two billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".