101311123212999 has 48 divisors (see below), whose sum is σ = 170164964935680. Its totient is φ = 56882888124480.

The previous prime is 101311123212931. The next prime is 101311123213031. The reversal of 101311123212999 is 999212321113101.

101311123212999 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 1 + 1 + 2 + 321 + 299 + 9 = 666.

It is not a de Polignac number, because 101311123212999 - 2¹⁶ = 101311123147463 is a prime.

It is a super-2 number, since 2×101311123212999² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311123214999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10279639 + ... + 17558280.

It is an arithmetic number, because the mean of its divisors is an integer number (3545103436160).

Almost surely, 2^{101311123212999} is an apocalyptic number.

101311123212999 is a deficient number, since it is larger than the sum of its proper divisors (68853841722681).

101311123212999 is a wasteful number, since it uses less digits than its factorization.

101311123212999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27838940 (or 27838937 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 101311123212999 in words is "one hundred one trillion, three hundred eleven billion, one hundred twenty-three million, two hundred twelve thousand, nine hundred ninety-nine".