102122102202201 has 16 divisors (see below), whose sum is σ = 151292716819200. Its totient is φ = 68081080367664.

The previous prime is 102122102202121. The next prime is 102122102202209. The reversal of 102122102202201 is 102202201221201.

It is a happy number.

102122102202201 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 221 + 0 + 220 + 220 + 1 = 666.

It is not a de Polignac number, because 102122102202201 - 2³⁰ = 102121028460377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122102202209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017766 + ... + 14606543.

It is an arithmetic number, because the mean of its divisors is an integer number (9455794801200).

Almost surely, 2^{102122102202201} is an apocalyptic number.

It is an amenable number.

102122102202201 is a deficient number, since it is larger than the sum of its proper divisors (49170614616999).

102122102202201 is a wasteful number, since it uses less digits than its factorization.

102122102202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17838925 (or 17838919 counting only the distinct ones).

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

Adding to 102122102202201 its reverse (102202201221201), we get a palindrome (204324303423402).

The spelling of 102122102202201 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, two hundred two thousand, two hundred one".