102133001200302 has 48 divisors (see below), whose sum is σ = 221362532267760. Its totient is φ = 34032894408576.

The previous prime is 102133001200213. The next prime is 102133001200319. The reversal of 102133001200302 is 203002100331201.

102133001200302 is a `hidden beast` number, since 1 + 0 + 21 + 330 + 0 + 12 + 0 + 0 + 302 = 666.

It is a super-2 number, since 2×102133001200302² (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 a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1504865373 + ... + 1504933239.

It is an arithmetic number, because the mean of its divisors is an integer number (4611719422245).

Almost surely, 2^{102133001200302} is an apocalyptic number.

102133001200302 is an abundant number, since it is smaller than the sum of its proper divisors (119229531067458).

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

102133001200302 is a wasteful number, since it uses less digits than its factorization.

102133001200302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94737 (or 94734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133001200302 its reverse (203002100331201), we get a palindrome (305135101531503).

The spelling of 102133001200302 in words is "one hundred two trillion, one hundred thirty-three billion, one million, two hundred thousand, three hundred two".