100122102001013 has 6 divisors (see below), whose sum is σ = 103693639528674. Its totient is φ = 96669615724304.

The previous prime is 100122102000983. The next prime is 100122102001057. The reversal of 100122102001013 is 310100201221001.

It can be written as a sum of positive squares in 3 ways, for example, as 35455141354084 + 64666960646929 = 5954422^2 + 8041577^2 .

It is not a de Polignac number, because 100122102001013 - 2¹⁰ = 100122101999989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122102004013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59525624606 + ... + 59525626287.

It is an arithmetic number, because the mean of its divisors is an integer number (17282273254779).

Almost surely, 2^{100122102001013} is an apocalyptic number.

It is an amenable number.

100122102001013 is a deficient number, since it is larger than the sum of its proper divisors (3571537527661).

100122102001013 is an equidigital number, since it uses as much as digits as its factorization.

100122102001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119051250951 (or 119051250922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100122102001013 its reverse (310100201221001), we get a palindrome (410222303222014).

The spelling of 100122102001013 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, one thousand, thirteen".