10100010111111 has 6 divisors (see below), whose sum is σ = 14588903493840. Its totient is φ = 6733340074068.

The previous prime is 10100010111073. The next prime is 10100010111119. The reversal of 10100010111111 is 11111101000101.

10100010111111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100010111111 - 2¹⁸ = 10100009848967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122223345679 = 10100010111111 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10100010111093 and 10100010111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010111119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561111672831 + ... + 561111672848.

It is an arithmetic number, because the mean of its divisors is an integer number (2431483915640).

Almost surely, 2^{10100010111111} is an apocalyptic number.

10100010111111 is a deficient number, since it is larger than the sum of its proper divisors (4488893382729).

10100010111111 is a wasteful number, since it uses less digits than its factorization.

10100010111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122223345685 (or 1122223345682 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100010111111 its reverse (11111101000101), we get a palindrome (21211111111212).

It can be divided in two parts, 101000101 and 11111, that multiplied together give a palindrome (1122212122211).

The spelling of 10100010111111 in words is "ten trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred eleven".