102202112122011 has 24 divisors (see below), whose sum is σ = 161061072799536. Its totient is φ = 61934781565440.

The previous prime is 102202112122007. The next prime is 102202112122013. The reversal of 102202112122011 is 110221211202201.

102202112122011 is a `hidden beast` number, since 1 + 0 + 220 + 211 + 2 + 1 + 220 + 11 = 666.

It is not a de Polignac number, because 102202112122011 - 2² = 102202112122007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202112122013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48057690 + ... + 50139263.

It is an arithmetic number, because the mean of its divisors is an integer number (6710878033314).

Almost surely, 2^{102202112122011} is an apocalyptic number.

102202112122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102202112122011 is a deficient number, since it is larger than the sum of its proper divisors (58858960677525).

102202112122011 is a wasteful number, since it uses less digits than its factorization.

102202112122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98207483 (or 98207480 counting only the distinct ones).

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

Adding to 102202112122011 its reverse (110221211202201), we get a palindrome (212423323324212).

The spelling of 102202112122011 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred twenty-two thousand, eleven".