101011223100431 has 16 divisors (see below), whose sum is σ = 118747541004288. Its totient is φ = 84135642472800.

The previous prime is 101011223100421. The next prime is 101011223100433. The reversal of 101011223100431 is 134001322110101.

It is a cyclic number.

It is not a de Polignac number, because 101011223100431 - 2¹⁰ = 101011223099407 is a prime.

It is a super-2 number, since 2×101011223100431² (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 (101011223100433) 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, 1425026255 + ... + 1425097136.

It is an arithmetic number, because the mean of its divisors is an integer number (7421721312768).

Almost surely, 2^{101011223100431} is an apocalyptic number.

101011223100431 is a deficient number, since it is larger than the sum of its proper divisors (17736317903857).

101011223100431 is an equidigital number, since it uses as much as digits as its factorization.

101011223100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850123542.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101011223100431 its reverse (134001322110101), we get a palindrome (235012545210532).

The spelling of 101011223100431 in words is "one hundred one trillion, eleven billion, two hundred twenty-three million, one hundred thousand, four hundred thirty-one".