101422311122133 has 24 divisors (see below), whose sum is σ = 151590119704920. Its totient is φ = 65266294141440.

The previous prime is 101422311122113. The next prime is 101422311122147. The reversal of 101422311122133 is 331221113224101.

101422311122133 is a `hidden beast` number, since 1 + 0 + 1 + 422 + 3 + 1 + 11 + 221 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17226675153009 + 84195635969124 = 4150503^2 + 9175818^2 .

It is not a de Polignac number, because 101422311122133 - 2²² = 101422306927829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101422311122097 and 101422311122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101422311122113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49689808 + ... + 51690633.

It is an arithmetic number, because the mean of its divisors is an integer number (6316254987705).

Almost surely, 2^{101422311122133} is an apocalyptic number.

It is an amenable number.

101422311122133 is a deficient number, since it is larger than the sum of its proper divisors (50167808582787).

101422311122133 is a wasteful number, since it uses less digits than its factorization.

101422311122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101384309 (or 101384306 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101422311122133 its reverse (331221113224101), we get a palindrome (432643424346234).

The spelling of 101422311122133 in words is "one hundred one trillion, four hundred twenty-two billion, three hundred eleven million, one hundred twenty-two thousand, one hundred thirty-three".