102122012101212 has 72 divisors (see below), whose sum is σ = 263022264033984. Its totient is φ = 33397135214976.

The previous prime is 102122012101177. The next prime is 102122012101253. The reversal of 102122012101212 is 212101210221201.

102122012101212 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 1 + 210 + 1 + 212 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50316733 + ... + 52306955.

It is an arithmetic number, because the mean of its divisors is an integer number (3653087000472).

Almost surely, 2^{102122012101212} is an apocalyptic number.

102122012101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122012101212 is an abundant number, since it is smaller than the sum of its proper divisors (160900251932772).

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

102122012101212 is a wasteful number, since it uses less digits than its factorization.

102122012101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017179 (or 2017174 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122012101212 its reverse (212101210221201), we get a palindrome (314223222322413).

The spelling of 102122012101212 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, two hundred twelve".