102202121101122 has 64 divisors (see below), whose sum is σ = 263216730470400. Its totient is φ = 28789329880080.

The previous prime is 102202121101121. The next prime is 102202121101139. The reversal of 102202121101122 is 221101121202201.

102202121101122 is a `hidden beast` number, since 1 + 0 + 220 + 212 + 110 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102202121101095 and 102202121101104.

It is not an unprimeable number, because it can be changed into a prime (102202121101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904029372 + ... + 1904083047.

It is an arithmetic number, because the mean of its divisors is an integer number (4112761413600).

Almost surely, 2^{102202121101122} is an apocalyptic number.

102202121101122 is an abundant number, since it is smaller than the sum of its proper divisors (161014609369278).

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

102202121101122 is a wasteful number, since it uses less digits than its factorization.

102202121101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808112508 (or 3808112502 counting only the distinct ones).

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

Adding to 102202121101122 its reverse (221101121202201), we get a palindrome (323303242303323).

The spelling of 102202121101122 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-two".