102122210222112 has 48 divisors (see below), whose sum is σ = 268427753822592. Its totient is φ = 33995409504000.

The previous prime is 102122210222107. The next prime is 102122210222119. The reversal of 102122210222112 is 211222012221201.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (102122210222119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708165603 + ... + 708309794.

It is an arithmetic number, because the mean of its divisors is an integer number (5592244871304).

Almost surely, 2^{102122210222112} is an apocalyptic number.

102122210222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122210222112 is an abundant number, since it is smaller than the sum of its proper divisors (166305543600480).

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

102122210222112 is a wasteful number, since it uses less digits than its factorization.

102122210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416476161 (or 1416476153 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102122210222112 its reverse (211222012221201), we get a palindrome (313344222443313).

The spelling of 102122210222112 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".