10101110001111 has 48 divisors (see below), whose sum is σ = 15136918894656. Its totient is φ = 6485626464768.

The previous prime is 10101110001083. The next prime is 10101110001221. The reversal of 10101110001111 is 11110001110101.

It is not a de Polignac number, because 10101110001111 - 2¹⁴ = 10101109984727 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10101110001093 and 10101110001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110001011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79956451 + ... + 80082683.

It is an arithmetic number, because the mean of its divisors is an integer number (315352476972).

Almost surely, 2^{10101110001111} is an apocalyptic number.

10101110001111 is a deficient number, since it is larger than the sum of its proper divisors (5035808893545).

10101110001111 is a wasteful number, since it uses less digits than its factorization.

10101110001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128712 (or 128709 counting only the distinct ones).

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

Adding to 10101110001111 its reverse (11110001110101), we get a palindrome (21211111111212).

The spelling of 10101110001111 in words is "ten trillion, one hundred one billion, one hundred ten million, one thousand, one hundred eleven".