102133311985 has 8 divisors (see below), whose sum is σ = 123195001320. Its totient is φ = 81283298304.

The previous prime is 102133311961. The next prime is 102133312003. The reversal of 102133311985 is 589113331201.

It can be written as a sum of positive squares in 4 ways, for example, as 26402675121 + 75730636864 = 162489^2 + 275192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102133311985 - 2²⁹ = 101596441073 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 52917850 + ... + 52919779.

It is an arithmetic number, because the mean of its divisors is an integer number (15399375165).

Almost surely, 2^102133311985 is an apocalyptic number.

It is an amenable number.

102133311985 is a deficient number, since it is larger than the sum of its proper divisors (21061689335).

102133311985 is a wasteful number, since it uses less digits than its factorization.

102133311985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105837827.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 102133311985 in words is "one hundred two billion, one hundred thirty-three million, three hundred eleven thousand, nine hundred eighty-five".