100011918381 has 16 divisors (see below), whose sum is σ = 136504558080. Its totient is φ = 65098177200.

The previous prime is 100011918361. The next prime is 100011918431. The reversal of 100011918381 is 183819110001.

It is not a de Polignac number, because 100011918381 - 2⁶ = 100011918317 is a prime.

It is a super-2 number, since 2×100011918381² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011918301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174856 + ... + 480206.

It is an arithmetic number, because the mean of its divisors is an integer number (8531534880).

Almost surely, 2^100011918381 is an apocalyptic number.

It is an amenable number.

100011918381 is a deficient number, since it is larger than the sum of its proper divisors (36492639699).

100011918381 is a wasteful number, since it uses less digits than its factorization.

100011918381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307936.

The product of its (nonzero) digits is 1728, while the sum is 33.

The spelling of 100011918381 in words is "one hundred billion, eleven million, nine hundred eighteen thousand, three hundred eighty-one".