10100010000111 has 16 divisors (see below), whose sum is σ = 13600894353408. Its totient is φ = 6666241460000.

The previous prime is 10100010000097. The next prime is 10100010000137. The reversal of 10100010000111 is 11100001000101.

It is a cyclic number.

It is not a de Polignac number, because 10100010000111 - 2¹⁰ = 10100009999087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010000191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640210 + ... + 5783696.

It is an arithmetic number, because the mean of its divisors is an integer number (850055897088).

Almost surely, 2^{10100010000111} is an apocalyptic number.

10100010000111 is a deficient number, since it is larger than the sum of its proper divisors (3500884353297).

10100010000111 is a wasteful number, since it uses less digits than its factorization.

10100010000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159142.

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

Adding to 10100010000111 its reverse (11100001000101), we get a palindrome (21200011000212).

The spelling of 10100010000111 in words is "ten trillion, one hundred billion, ten million, one hundred eleven", and thus it is an aban number.