100535161535001 has 48 divisors (see below), whose sum is σ = 150145271587584. Its totient is φ = 64774756449792.

The previous prime is 100535161534991. The next prime is 100535161535059.

100535161535001 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 5 + 1 + 615 + 35 + 0 + 0 + 1 = 666.

100535161535001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100535161535001 - 2⁴² = 96137115023897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100535161535201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31195120 + ... + 34266686.

It is an arithmetic number, because the mean of its divisors is an integer number (3128026491408).

Almost surely, 2^{100535161535001} is an apocalyptic number.

It is an amenable number.

100535161535001 is a deficient number, since it is larger than the sum of its proper divisors (49610110052583).

100535161535001 is a wasteful number, since it uses less digits than its factorization.

100535161535001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072270 (or 3072267 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 100535161535001 in words is "one hundred trillion, five hundred thirty-five billion, one hundred sixty-one million, five hundred thirty-five thousand, one".