10111001110101 has 12 divisors (see below), whose sum is σ = 14999503148812. Its totient is φ = 6558487206336.

The previous prime is 10111001110079. The next prime is 10111001110121. The reversal of 10111001110101 is 10101110011101.

It can be written as a sum of positive squares in 2 ways, for example, as 9020802006225 + 1090199103876 = 3003465^2 + 1044126^2 .

It is not a de Polignac number, because 10111001110101 - 2⁶ = 10111001110037 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111001110121) 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, 15181683016 + ... + 15181683681.

Almost surely, 2^{10111001110101} is an apocalyptic number.

It is an amenable number.

10111001110101 is a deficient number, since it is larger than the sum of its proper divisors (4888502038711).

10111001110101 is a wasteful number, since it uses less digits than its factorization.

10111001110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30363366740 (or 30363366737 counting only the distinct ones).

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

Adding to 10111001110101 its reverse (10101110011101), we get a palindrome (20212111121202).

The spelling of 10111001110101 in words is "ten trillion, one hundred eleven billion, one million, one hundred ten thousand, one hundred one".