100165048046001 has 27 divisors (see below), whose sum is σ = 144889709206827. Its totient is φ = 66681360117360.

The previous prime is 100165048045973. The next prime is 100165048046023. The reversal of 100165048046001 is 100640840561001.

The square root of 100165048046001 is 10008249.

It is a perfect power (a square), and thus also a powerful number.

100165048046001 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 5 + 0 + 48 + 0 + 4 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5785299720225 + 94379748325776 = 2405265^2 + 9714924^2 .

It is not a de Polignac number, because 100165048046001 - 2²³ = 100165039657393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100165048046051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25611107236 + ... + 25611111146.

Almost surely, 2^{100165048046001} is an apocalyptic number.

100165048046001 is the 10008249-th square number.

100165048046001 is the 5004125-th centered octagonal number.

It is an amenable number.

100165048046001 is a deficient number, since it is larger than the sum of its proper divisors (44724661160826).

100165048046001 is an frugal number, since it uses more digits than its factorization.

100165048046001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 100165048046001 in words is "one hundred trillion, one hundred sixty-five billion, forty-eight million, forty-six thousand, one".