10111110110001 has 12 divisors (see below), whose sum is σ = 14616162773940. Its totient is φ = 6735558866400.

The previous prime is 10111110109949. The next prime is 10111110110021. The reversal of 10111110110001 is 10001101111101.

It can be written as a sum of positive squares in 2 ways, for example, as 367628792976 + 9743481317025 = 606324^2 + 3121455^2 .

It is not a de Polignac number, because 10111110110001 - 2⁹ = 10111110109489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10111110110021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431754886 + ... + 431778303.

It is an arithmetic number, because the mean of its divisors is an integer number (1218013564495).

Almost surely, 2^{10111110110001} is an apocalyptic number.

It is an amenable number.

10111110110001 is a deficient number, since it is larger than the sum of its proper divisors (4505052663939).

10111110110001 is a wasteful number, since it uses less digits than its factorization.

10111110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863534496 (or 863534493 counting only the distinct ones).

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

Adding to 10111110110001 its reverse (10001101111101), we get a palindrome (20112211221102).

It can be divided in two parts, 101111101 and 10001, that multiplied together give a palindrome (1011212121101).

The spelling of 10111110110001 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one".