100122322031013 has 24 divisors (see below), whose sum is σ = 140254249844800. Its totient is φ = 63525283430400.

The previous prime is 100122322031003. The next prime is 100122322031023. The reversal of 100122322031013 is 310130223221001.

It is an interprime number because it is at equal distance from previous prime (100122322031003) and next prime (100122322031023).

It is not a de Polignac number, because 100122322031013 - 2⁵ = 100122322030981 is a prime.

It is a super-2 number, since 2×100122322031013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122322031003) 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 23 ways as a sum of consecutive naturals, for example, 158199388 + ... + 158831013.

Almost surely, 2^{100122322031013} is an apocalyptic number.

It is an amenable number.

100122322031013 is a deficient number, since it is larger than the sum of its proper divisors (40131927813787).

100122322031013 is a wasteful number, since it uses less digits than its factorization.

100122322031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317030649 (or 317030626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100122322031013 its reverse (310130223221001), we get a palindrome (410252545252014).

The spelling of 100122322031013 in words is "one hundred trillion, one hundred twenty-two billion, three hundred twenty-two million, thirty-one thousand, thirteen".