10401113013122 has 16 divisors (see below), whose sum is σ = 17381170288440. Its totient is φ = 4634978742912.

The previous prime is 10401113013113. The next prime is 10401113013157. The reversal of 10401113013122 is 22131031110401.

It can be written as a sum of positive squares in 4 ways, for example, as 10013433688801 + 387679324321 = 3164401^2 + 622639^2 .

It is a super-4 number, since 4×10401113013122⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10401113013094 and 10401113013103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6897289043 + ... + 6897290550.

Almost surely, 2^{10401113013122} is an apocalyptic number.

10401113013122 is a deficient number, since it is larger than the sum of its proper divisors (6980057275318).

10401113013122 is a wasteful number, since it uses less digits than its factorization.

10401113013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794579637.

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

Adding to 10401113013122 its reverse (22131031110401), we get a palindrome (32532144123523).

The spelling of 10401113013122 in words is "ten trillion, four hundred one billion, one hundred thirteen million, thirteen thousand, one hundred twenty-two".