102133113123201 has 16 divisors (see below), whose sum is σ = 138096320761728. Its totient is φ = 67129335504000.

The previous prime is 102133113123179. The next prime is 102133113123221. The reversal of 102133113123201 is 102321311331201.

It is not a de Polignac number, because 102133113123201 - 2⁶ = 102133113123137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102133113123221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35679051 + ... + 38435151.

It is an arithmetic number, because the mean of its divisors is an integer number (8631020047608).

Almost surely, 2^{102133113123201} is an apocalyptic number.

It is an amenable number.

102133113123201 is a deficient number, since it is larger than the sum of its proper divisors (35963207638527).

102133113123201 is a wasteful number, since it uses less digits than its factorization.

102133113123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930152.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102133113123201 its reverse (102321311331201), we get a palindrome (204454424454402).

The spelling of 102133113123201 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred one".