100136812041 has 72 divisors (see below), whose sum is σ = 170080722240. Its totient is φ = 56602639296.

The previous prime is 100136812031. The next prime is 100136812067. The reversal of 100136812041 is 140218631001.

It is a happy number.

It is not a de Polignac number, because 100136812041 - 2³⁰ = 99063070217 is a prime.

It is a super-2 number, since 2×100136812041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100136811996 and 100136812014.

It is not an unprimeable number, because it can be changed into a prime (100136812001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37828980 + ... + 37831626.

Almost surely, 2^100136812041 is an apocalyptic number.

It is an amenable number.

100136812041 is a deficient number, since it is larger than the sum of its proper divisors (69943910199).

100136812041 is a wasteful number, since it uses less digits than its factorization.

100136812041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 100136812041 in words is "one hundred billion, one hundred thirty-six million, eight hundred twelve thousand, forty-one".