100111020001 has 4 divisors (see below), whose sum is σ = 100111814404. Its totient is φ = 100110225600.

The previous prime is 100111019927. The next prime is 100111020011. The reversal of 100111020001 is 100020111001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 548683776 + 99562336225 = 23424^2 + 315535^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111020001 - 2²⁵ = 100077465569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111020011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161580 + ... + 475741.

It is an arithmetic number, because the mean of its divisors is an integer number (25027953601).

Almost surely, 2^100111020001 is an apocalyptic number.

It is an amenable number.

100111020001 is a deficient number, since it is larger than the sum of its proper divisors (794403).

100111020001 is an equidigital number, since it uses as much as digits as its factorization.

100111020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794402.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100111020001 its reverse (100020111001), we get a palindrome (200131131002).

The spelling of 100111020001 in words is "one hundred billion, one hundred eleven million, twenty thousand, one".