102122202112 has 176 divisors, whose sum is σ = 245902540032. Its totient is φ = 41442508800.

The previous prime is 102122202071. The next prime is 102122202139. The reversal of 102122202112 is 211202221201.

It is a happy number.

102122202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16648198 + ... + 16654330.

Almost surely, 2^102122202112 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 102122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122951270016).

102122202112 is an abundant number, since it is smaller than the sum of its proper divisors (143780337920).

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

102122202112 is a wasteful number, since it uses less digits than its factorization.

102122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122202112 its reverse (211202221201), we get a palindrome (313324423313).

The spelling of 102122202112 in words is "one hundred two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".