101164315134123 has 32 divisors (see below), whose sum is σ = 149908983278400. Its totient is φ = 67426713059328.

The previous prime is 101164315134089. The next prime is 101164315134131. The reversal of 101164315134123 is 321431513461101.

It is a happy number.

101164315134123 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 643 + 1 + 5 + 1 + 3 + 4 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 101164315134123 - 2²² = 101164310939819 is a prime.

It is a super-2 number, since 2×101164315134123² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101164315134133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3228254911 + ... + 3228286247.

It is an arithmetic number, because the mean of its divisors is an integer number (4684655727450).

Almost surely, 2^{101164315134123} is an apocalyptic number.

101164315134123 is a deficient number, since it is larger than the sum of its proper divisors (48744668144277).

101164315134123 is a wasteful number, since it uses less digits than its factorization.

101164315134123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56188 (or 56182 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 101164315134123 its reverse (321431513461101), we get a palindrome (422595828595224).

The spelling of 101164315134123 in words is "one hundred one trillion, one hundred sixty-four billion, three hundred fifteen million, one hundred thirty-four thousand, one hundred twenty-three".