100122210013 has 8 divisors (see below), whose sum is σ = 115873806080. Its totient is φ = 84732719760.

The previous prime is 100122209983. The next prime is 100122210053. The reversal of 100122210013 is 310012221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100122210013 - 2⁹ = 100122209501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122209975 and 100122210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122210053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90525858 + ... + 90526963.

It is an arithmetic number, because the mean of its divisors is an integer number (14484225760).

Almost surely, 2^100122210013 is an apocalyptic number.

It is an amenable number.

100122210013 is a deficient number, since it is larger than the sum of its proper divisors (15751596067).

100122210013 is an equidigital number, since it uses as much as digits as its factorization.

100122210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181052907.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100122210013 its reverse (310012221001), we get a palindrome (410134431014).

It can be divided in two parts, 10012221001 and 3, that multiplied together give a palindrome (30036663003).

The spelling of 100122210013 in words is "one hundred billion, one hundred twenty-two million, two hundred ten thousand, thirteen".