102202122210012 has 96 divisors (see below), whose sum is σ = 290829860616960. Its totient is φ = 30780337919040.

The previous prime is 102202122210007. The next prime is 102202122210049. The reversal of 102202122210012 is 210012221202201.

It is a happy number.

102202122210012 is a `hidden beast` number, since 1 + 0 + 220 + 212 + 221 + 0 + 0 + 12 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263698143 + ... + 264085430.

It is an arithmetic number, because the mean of its divisors is an integer number (3029477714760).

Almost surely, 2^{102202122210012} is an apocalyptic number.

102202122210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202122210012 is an abundant number, since it is smaller than the sum of its proper divisors (188627738406948).

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

102202122210012 is a wasteful number, since it uses less digits than its factorization.

102202122210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527783760 (or 527783752 counting only the distinct ones).

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

Adding to 102202122210012 its reverse (210012221202201), we get a palindrome (312214343412213).

The spelling of 102202122210012 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, two hundred ten thousand, twelve".