10122113401133 has 16 divisors (see below), whose sum is σ = 10312805226240. Its totient is φ = 9932072746944.

The previous prime is 10122113401093. The next prime is 10122113401177. The reversal of 10122113401133 is 33110431122101.

10122113401133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122113401133 - 2²⁴ = 10122096623917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122113401099 and 10122113401108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122113401733) 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, 89161835 + ... + 89275287.

It is an arithmetic number, because the mean of its divisors is an integer number (644550326640).

Almost surely, 2^{10122113401133} is an apocalyptic number.

It is an amenable number.

10122113401133 is a deficient number, since it is larger than the sum of its proper divisors (190691825107).

10122113401133 is a wasteful number, since it uses less digits than its factorization.

10122113401133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116308.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10122113401133 its reverse (33110431122101), we get a palindrome (43232544523234).

The spelling of 10122113401133 in words is "ten trillion, one hundred twenty-two billion, one hundred thirteen million, four hundred one thousand, one hundred thirty-three".