100135864041 has 16 divisors (see below), whose sum is σ = 138166132800. Its totient is φ = 64433009088.

The previous prime is 100135864013. The next prime is 100135864051. The reversal of 100135864041 is 140468531001.

It is not a de Polignac number, because 100135864041 - 2⁵ = 100135864009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100135863993 and 100135864011.

It is not an unprimeable number, because it can be changed into a prime (100135864051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56490 + ... + 451068.

It is an arithmetic number, because the mean of its divisors is an integer number (8635383300).

Almost surely, 2^100135864041 is an apocalyptic number.

It is an amenable number.

100135864041 is a deficient number, since it is larger than the sum of its proper divisors (38030268759).

100135864041 is a wasteful number, since it uses less digits than its factorization.

100135864041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397528.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 100135864041 in words is "one hundred billion, one hundred thirty-five million, eight hundred sixty-four thousand, forty-one".