100918181910001 has 4 divisors (see below), whose sum is σ = 101917371830004. Its totient is φ = 99918991990000.

The previous prime is 100918181909957. The next prime is 100918181910097. The reversal of 100918181910001 is 100019181819001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 80942860080625 + 19975321829376 = 8996825^2 + 4469376^2 .

It is a cyclic number.

It is not a de Polignac number, because 100918181910001 - 2²⁹ = 100917645039089 is a prime.

It is a super-4 number, since 4×100918181910001⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100918181910101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 499594959850 + ... + 499594960051.

It is an arithmetic number, because the mean of its divisors is an integer number (25479342957501).

Almost surely, 2^{100918181910001} is an apocalyptic number.

It is an amenable number.

100918181910001 is a deficient number, since it is larger than the sum of its proper divisors (999189920003).

100918181910001 is an equidigital number, since it uses as much as digits as its factorization.

100918181910001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999189920002.

The product of its (nonzero) digits is 5184, while the sum is 40.

The spelling of 100918181910001 in words is "one hundred trillion, nine hundred eighteen billion, one hundred eighty-one million, nine hundred ten thousand, one".