100110000010001 has 16 divisors (see below), whose sum is σ = 106542541793664. Its totient is φ = 93854484582144.

The previous prime is 100110000009989. The next prime is 100110000010063. The reversal of 100110000010001 is 100010000011001.

It is a cyclic number.

It is not a de Polignac number, because 100110000010001 - 2⁶ = 100110000009937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110000010301) 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, 40838051 + ... + 43219976.

It is an arithmetic number, because the mean of its divisors is an integer number (6658908862104).

Almost surely, 2^{100110000010001} is an apocalyptic number.

It is an amenable number.

100110000010001 is a deficient number, since it is larger than the sum of its proper divisors (6432541783663).

100110000010001 is an equidigital number, since it uses as much as digits as its factorization.

100110000010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84059080.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100110000010001 its reverse (100010000011001), we get a palindrome (200120000021002).

The spelling of 100110000010001 in words is "one hundred trillion, one hundred ten billion, ten thousand, one".