102133302232123 has 16 divisors (see below), whose sum is σ = 104841982980000. Its totient is φ = 99435014910720.

The previous prime is 102133302232111. The next prime is 102133302232147. The reversal of 102133302232123 is 321232203331201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102133302232123 is a prime.

It is a super-2 number, since 2×102133302232123² (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 = 102133302232091 and 102133302232100.

It is not an unprimeable number, because it can be changed into a prime (102133302232523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 279471465 + ... + 279836677.

It is an arithmetic number, because the mean of its divisors is an integer number (6552623936250).

Almost surely, 2^{102133302232123} is an apocalyptic number.

102133302232123 is a deficient number, since it is larger than the sum of its proper divisors (2708680747877).

102133302232123 is a wasteful number, since it uses less digits than its factorization.

102133302232123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379422.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 102133302232123 its reverse (321232203331201), we get a palindrome (423365505563324).

The spelling of 102133302232123 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred two million, two hundred thirty-two thousand, one hundred twenty-three".