102221202202002 has 80 divisors (see below), whose sum is σ = 246677707267992. Its totient is φ = 31451763248640.

The previous prime is 102221202201977. The next prime is 102221202202061. The reversal of 102221202202002 is 200202202122201.

102221202202002 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 20 + 220 + 200 + 2 = 666.

102221202202002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34848608499441 + 67372593702561 = 5903271^2 + 8208081^2 .

It is a super-2 number, since 2×102221202202002² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73613908 + ... + 74989664.

Almost surely, 2^{102221202202002} is an apocalyptic number.

102221202202002 is an abundant number, since it is smaller than the sum of its proper divisors (144456505065990).

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

102221202202002 is a wasteful number, since it uses less digits than its factorization.

102221202202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411065 (or 1411056 counting only the distinct ones).

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

Adding to 102221202202002 its reverse (200202202122201), we get a palindrome (302423404324203).

The spelling of 102221202202002 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred two million, two hundred two thousand, two".