102133110222331 has 8 divisors (see below), whose sum is σ = 102146629602384. Its totient is φ = 102119591767200.

The previous prime is 102133110222307. The next prime is 102133110222337. The reversal of 102133110222331 is 133222011331201.

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 102133110222331 - 2²⁵ = 102133076667899 is a prime.

It is a super-2 number, since 2×102133110222331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102133110222296 and 102133110222305.

It is not an unprimeable number, because it can be changed into a prime (102133110222337) 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 7 ways as a sum of consecutive naturals, for example, 236371521 + ... + 236803213.

It is an arithmetic number, because the mean of its divisors is an integer number (12768328700298).

Almost surely, 2^{102133110222331} is an apocalyptic number.

102133110222331 is a deficient number, since it is larger than the sum of its proper divisors (13519380053).

102133110222331 is a wasteful number, since it uses less digits than its factorization.

102133110222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462461.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 102133110222331 its reverse (133222011331201), we get a palindrome (235355121553532).

The spelling of 102133110222331 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred ten million, two hundred twenty-two thousand, three hundred thirty-one".