101110000001 has 12 divisors (see below), whose sum is σ = 104019136512. Its totient is φ = 98279460000.

The previous prime is 101109999979. The next prime is 101110000021. The reversal of 101110000001 is 100000011101.

It is not a de Polignac number, because 101110000001 - 2³⁰ = 100036258177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101110000001.

It is not an unprimeable number, because it can be changed into a prime (101110000021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344576 + ... + 566526.

It is an arithmetic number, because the mean of its divisors is an integer number (8668261376).

Almost surely, 2^101110000001 is an apocalyptic number.

It is an amenable number.

101110000001 is a deficient number, since it is larger than the sum of its proper divisors (2909136511).

101110000001 is an equidigital number, since it uses as much as digits as its factorization.

101110000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222304 (or 222263 counting only the distinct ones).

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

Adding to 101110000001 its reverse (100000011101), we get a palindrome (201110011102).

The spelling of 101110000001 in words is "one hundred one billion, one hundred ten million, one", and thus it is an aban number.