102200022022122 has 24 divisors (see below), whose sum is σ = 229069014878340. Its totient is φ = 32891961110400.

The previous prime is 102200022022051. The next prime is 102200022022141. The reversal of 102200022022122 is 221220220002201.

102200022022122 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 0 + 220 + 221 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102189838992201 + 10183029921 = 10108899^2 + 100911^2 .

It is a super-3 number, since 3×102200022022122³ (a number of 43 digits) contains 333 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 = 102200022022095 and 102200022022104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97892740879 + ... + 97892741922.

Almost surely, 2^{102200022022122} is an apocalyptic number.

102200022022122 is an abundant number, since it is smaller than the sum of its proper divisors (126868992856218).

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

102200022022122 is a wasteful number, since it uses less digits than its factorization.

102200022022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195785482838 (or 195785482835 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102200022022122 its reverse (221220220002201), we get a palindrome (323420242024323).

The spelling of 102200022022122 in words is "one hundred two trillion, two hundred billion, twenty-two million, twenty-two thousand, one hundred twenty-two".