100111010000001 has 64 divisors (see below), whose sum is σ = 184063486365696. Its totient is φ = 46707839481600.

The previous prime is 100111009999993. The next prime is 100111010000047. The reversal of 100111010000001 is 100000010111001.

It is not a de Polignac number, because 100111010000001 - 2³ = 100111009999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111010008001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450388885 + ... + 450611106.

It is an arithmetic number, because the mean of its divisors is an integer number (2875991974464).

Almost surely, 2^{100111010000001} is an apocalyptic number.

100111010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111010000001 is a deficient number, since it is larger than the sum of its proper divisors (83952476365695).

100111010000001 is a wasteful number, since it uses less digits than its factorization.

100111010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901000062.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111010000001 its reverse (100000010111001), we get a palindrome (200111020111002).

The spelling of 100111010000001 in words is "one hundred trillion, one hundred eleven billion, ten million, one", and thus it is an aban number.