100122020100113 has 8 divisors (see below), whose sum is σ = 109516847727936. Its totient is φ = 90775996772400.

The previous prime is 100122020100101. The next prime is 100122020100121. The reversal of 100122020100113 is 311001020221001.

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 100122020100113 - 2²⁴ = 100122003322897 is a prime.

It is a super-2 number, since 2×100122020100113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100122020100413) 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 7 ways as a sum of consecutive naturals, for example, 12201070733 + ... + 12201078938.

It is an arithmetic number, because the mean of its divisors is an integer number (13689605965992).

Almost surely, 2^{100122020100113} is an apocalyptic number.

It is an amenable number.

100122020100113 is a deficient number, since it is larger than the sum of its proper divisors (9394827627823).

100122020100113 is a wasteful number, since it uses less digits than its factorization.

100122020100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24402150055.

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

Adding to 100122020100113 its reverse (311001020221001), we get a palindrome (411123040321114).

The spelling of 100122020100113 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred thousand, one hundred thirteen".