102202112102002 has 24 divisors (see below), whose sum is σ = 174317367048300. Its totient is φ = 44853591515040.

The previous prime is 102202112101867. The next prime is 102202112102071. The reversal of 102202112102002 is 200201211202201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102194327392641 + 7784709361 = 10109121^2 + 88231^2 .

It is a super-2 number, since 2×102202112102002² (a number of 29 digits) contains 22 as substring.

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, 7281420177 + ... + 7281434212.

Almost surely, 2^{102202112102002} is an apocalyptic number.

102202112102002 is a deficient number, since it is larger than the sum of its proper divisors (72115254946298).

102202112102002 is a wasteful number, since it uses less digits than its factorization.

102202112102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562854442 (or 14562854431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202112102002 its reverse (200201211202201), we get a palindrome (302403323304203).

The spelling of 102202112102002 in words is "one hundred two trillion, two hundred two billion, one hundred twelve million, one hundred two thousand, two".