102133001033199 has 12 divisors (see below), whose sum is σ = 153939595760496. Its totient is φ = 65128290513792.

The previous prime is 102133001033197. The next prime is 102133001033207. The reversal of 102133001033199 is 991330100331201.

102133001033199 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 300 + 10 + 331 + 9 + 9 = 666.

It is not a de Polignac number, because 102133001033199 - 2¹ = 102133001033197 is a prime.

It is a super-2 number, since 2×102133001033199² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133001033197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246698069922 + ... + 246698070335.

It is an arithmetic number, because the mean of its divisors is an integer number (12828299646708).

Almost surely, 2^{102133001033199} is an apocalyptic number.

102133001033199 is a deficient number, since it is larger than the sum of its proper divisors (51806594727297).

102133001033199 is a wasteful number, since it uses less digits than its factorization.

102133001033199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493396140286 (or 493396140283 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 102133001033199 in words is "one hundred two trillion, one hundred thirty-three billion, one million, thirty-three thousand, one hundred ninety-nine".