101123122210311 has 16 divisors (see below), whose sum is σ = 136455736734720. Its totient is φ = 66605998457760.

The previous prime is 101123122210273. The next prime is 101123122210337. The reversal of 101123122210311 is 113012221321101.

It is not a de Polignac number, because 101123122210311 - 2⁷ = 101123122210183 is a prime.

It is a super-2 number, since 2×101123122210311² (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 (101123122210381) 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, 379517976 + ... + 379784333.

It is an arithmetic number, because the mean of its divisors is an integer number (8528483545920).

Almost surely, 2^{101123122210311} is an apocalyptic number.

101123122210311 is a deficient number, since it is larger than the sum of its proper divisors (35332614524409).

101123122210311 is a wasteful number, since it uses less digits than its factorization.

101123122210311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759302846.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101123122210311 its reverse (113012221321101), we get a palindrome (214135343531412).

The spelling of 101123122210311 in words is "one hundred one trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred ten thousand, three hundred eleven".