100156006511001 has 48 divisors (see below), whose sum is σ = 165672577324800. Its totient is φ = 57115817216640.

The previous prime is 100156006510961. The next prime is 100156006511009. The reversal of 100156006511001 is 100115600651001.

100156006511001 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 6 + 0 + 0 + 651 + 1 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 100156006511001 - 2¹⁷ = 100156006379929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100156006511009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980438275 + ... + 980540423.

It is an arithmetic number, because the mean of its divisors is an integer number (3451512027600).

Almost surely, 2^{100156006511001} is an apocalyptic number.

It is an amenable number.

100156006511001 is a deficient number, since it is larger than the sum of its proper divisors (65516570813799).

100156006511001 is a wasteful number, since it uses less digits than its factorization.

100156006511001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133606 (or 133603 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 100156006511001 in words is "one hundred trillion, one hundred fifty-six billion, six million, five hundred eleven thousand, one".