10100100111111 has 8 divisors (see below), whose sum is σ = 14963111275760. Its totient is φ = 6733400074056.

The previous prime is 10100100111103. The next prime is 10100100111221. The reversal of 10100100111111 is 11111100100101.

10100100111111 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 10100100111111 - 2³ = 10100100111103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100111093 and 10100100111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100311111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187038890920 + ... + 187038890973.

It is an arithmetic number, because the mean of its divisors is an integer number (1870388909470).

Almost surely, 2^{10100100111111} is an apocalyptic number.

10100100111111 is a deficient number, since it is larger than the sum of its proper divisors (4863011164649).

10100100111111 is an equidigital number, since it uses as much as digits as its factorization.

10100100111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374077781902 (or 374077781896 counting only the distinct ones).

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

Adding to 10100100111111 its reverse (11111100100101), we get a palindrome (21211200211212).

The spelling of 10100100111111 in words is "ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred eleven".