101111110000101 has 12 divisors (see below), whose sum is σ = 146049502386060. Its totient is φ = 67407350693760.

The previous prime is 101111110000097. The next prime is 101111110000163. The reversal of 101111110000101 is 101000011111101.

It can be written as a sum of positive squares in 2 ways, for example, as 8512541475876 + 92598568524225 = 2917626^2 + 9622815^2 .

It is not a de Polignac number, because 101111110000101 - 2² = 101111110000097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111110000171) 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, 8831485 + ... + 16739693.

It is an arithmetic number, because the mean of its divisors is an integer number (12170791865505).

Almost surely, 2^{101111110000101} is an apocalyptic number.

It is an amenable number.

101111110000101 is a deficient number, since it is larger than the sum of its proper divisors (44938392385959).

101111110000101 is a wasteful number, since it uses less digits than its factorization.

101111110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328836 (or 9328833 counting only the distinct ones).

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

Adding to 101111110000101 its reverse (101000011111101), we get a palindrome (202111121111202).

The spelling of 101111110000101 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred one", and thus it is an aban number.