10111100000001 has 128 divisors (see below), whose sum is σ = 18611346087936. Its totient is φ = 4712075182080.

The previous prime is 10111099999993. The next prime is 10111100000009. The reversal of 10111100000001 is 10000000111101.

It is an interprime number because it is at equal distance from previous prime (10111099999993) and next prime (10111100000009).

It is not a de Polignac number, because 10111100000001 - 2³ = 10111099999993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111100000009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98504161 + ... + 98606753.

It is an arithmetic number, because the mean of its divisors is an integer number (145401141312).

Almost surely, 2^{10111100000001} is an apocalyptic number.

10111100000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111100000001 is a deficient number, since it is larger than the sum of its proper divisors (8500246087935).

10111100000001 is a wasteful number, since it uses less digits than its factorization.

10111100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103551.

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

Adding to 10111100000001 its reverse (10000000111101), we get a palindrome (20111100111102).

The spelling of 10111100000001 in words is "ten trillion, one hundred eleven billion, one hundred million, one", and thus it is an aban number.