10100001000111 has 64 divisors (see below), whose sum is σ = 15492669603840. Its totient is φ = 5797981952640.

The previous prime is 10100001000091. The next prime is 10100001000119. The reversal of 10100001000111 is 11100010000101.

It is not a de Polignac number, because 10100001000111 - 2⁴³ = 1303907977903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001000119) 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, 6739426 + ... + 8100608.

It is an arithmetic number, because the mean of its divisors is an integer number (242072962560).

Almost surely, 2^{10100001000111} is an apocalyptic number.

10100001000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100001000111 is a deficient number, since it is larger than the sum of its proper divisors (5392668603729).

10100001000111 is a wasteful number, since it uses less digits than its factorization.

10100001000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361396.

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

Adding to 10100001000111 its reverse (11100010000101), we get a palindrome (21200011000212).

The spelling of 10100001000111 in words is "ten trillion, one hundred billion, one million, one hundred eleven", and thus it is an aban number.