102002332220100 has 180 divisors, whose sum is σ = 356085976810564. Its totient is φ = 25108266366720.

The previous prime is 102002332220057. The next prime is 102002332220111. The reversal of 102002332220100 is 1022233200201.

102002332220100 is a `hidden beast` number, since 1 + 0 + 200 + 23 + 322 + 20 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67623922116 + 101934708297984 = 260046^2 + 10096272^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 484236259 + ... + 484446858.

Almost surely, 2^{102002332220100} is an apocalyptic number.

102002332220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002332220100 is an abundant number, since it is smaller than the sum of its proper divisors (254083644590464).

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

102002332220100 is a wasteful number, since it uses less digits than its factorization.

102002332220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968683156 (or 968683140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102002332220100 its reverse (1022233200201), we get a palindrome (103024565420301).

The spelling of 102002332220100 in words is "one hundred two trillion, two billion, three hundred thirty-two million, two hundred twenty thousand, one hundred".