10010000100111 has 16 divisors (see below), whose sum is σ = 15193043631360. Its totient is φ = 5802898608320.

The previous prime is 10010000100109. The next prime is 10010000100131. The reversal of 10010000100111 is 11100100001001.

It is not a de Polignac number, because 10010000100111 - 2¹ = 10010000100109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000100131) 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, 6594202206 + ... + 6594203723.

It is an arithmetic number, because the mean of its divisors is an integer number (949565226960).

Almost surely, 2^{10010000100111} is an apocalyptic number.

10010000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010000100111 is a deficient number, since it is larger than the sum of its proper divisors (5183043531249).

10010000100111 is a wasteful number, since it uses less digits than its factorization.

10010000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188405966.

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

Adding to 10010000100111 its reverse (11100100001001), we get a palindrome (21110100101112).

It can be divided in two parts, 100100001001 and 11, that multiplied together give a palindrome (1101100011011).

The spelling of 10010000100111 in words is "ten trillion, ten billion, one hundred thousand, one hundred eleven".