10101110100111 has 16 divisors (see below), whose sum is σ = 14965149428320. Its totient is φ = 6733829557440.

The previous prime is 10101110100101. The next prime is 10101110100119. The reversal of 10101110100111 is 11100101110101.

It is not a de Polignac number, because 10101110100111 - 2¹⁵ = 10101110067343 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 = 10101110100093 and 10101110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110100119) 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, 6012400 + ... + 7506741.

It is an arithmetic number, because the mean of its divisors is an integer number (935321839270).

Almost surely, 2^{10101110100111} is an apocalyptic number.

10101110100111 is a deficient number, since it is larger than the sum of its proper divisors (4864039328209).

10101110100111 is a wasteful number, since it uses less digits than its factorization.

10101110100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13546823 (or 13546817 counting only the distinct ones).

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

Adding to 10101110100111 its reverse (11100101110101), we get a palindrome (21201211210212).

The spelling of 10101110100111 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred eleven".