100106010561001 has 8 divisors (see below), whose sum is σ = 101140054158080. Its totient is φ = 99072008247168.

The previous prime is 100106010560987. The next prime is 100106010561079. The reversal of 100106010561001 is 100165010601001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100106010561001 - 2²⁵ = 100105977006569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100106010562001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5434161 + ... + 15157246.

It is an arithmetic number, because the mean of its divisors is an integer number (12642506769760).

Almost surely, 2^{100106010561001} is an apocalyptic number.

It is an amenable number.

100106010561001 is a deficient number, since it is larger than the sum of its proper divisors (1034043597079).

100106010561001 is an equidigital number, since it uses as much as digits as its factorization.

100106010561001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20641623.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 100106010561001 in words is "one hundred trillion, one hundred six billion, ten million, five hundred sixty-one thousand, one".