100210113022013 has 4 divisors (see below), whose sum is σ = 100210277587680. Its totient is φ = 100209948456348.

The previous prime is 100210113022007. The next prime is 100210113022109. The reversal of 100210113022013 is 310220311012001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100210113022013 - 2²² = 100210108827709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210113021982 and 100210113022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210113024013) 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 3 ways as a sum of consecutive naturals, for example, 81366023 + ... + 82588436.

It is an arithmetic number, because the mean of its divisors is an integer number (25052569396920).

Almost surely, 2^{100210113022013} is an apocalyptic number.

It is an amenable number.

100210113022013 is a deficient number, since it is larger than the sum of its proper divisors (164565667).

100210113022013 is an equidigital number, since it uses as much as digits as its factorization.

100210113022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164565666.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100210113022013 its reverse (310220311012001), we get a palindrome (410430424034014).

The spelling of 100210113022013 in words is "one hundred trillion, two hundred ten billion, one hundred thirteen million, twenty-two thousand, thirteen".