102200022121122 has 40 divisors (see below), whose sum is σ = 230375033292096. Its totient is φ = 33862681971288.

The previous prime is 102200022121069. The next prime is 102200022121213. The reversal of 102200022121122 is 221121220002201.

It is a happy number.

102200022121122 is a `hidden beast` number, since 10 + 2 + 200 + 0 + 221 + 211 + 22 = 666.

It is a super-2 number, since 2×102200022121122² (a number of 29 digits) contains 22 as substring.

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 = 102200022121095 and 102200022121104.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1888788318 + ... + 1888842425.

Almost surely, 2^{102200022121122} is an apocalyptic number.

102200022121122 is an abundant number, since it is smaller than the sum of its proper divisors (128175011170974).

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

102200022121122 is a wasteful number, since it uses less digits than its factorization.

102200022121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777630924 (or 3777630915 counting only the distinct ones).

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

Adding to 102200022121122 its reverse (221121220002201), we get a palindrome (323321242123323).

The spelling of 102200022121122 in words is "one hundred two trillion, two hundred billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".