101000011111101 has 96 divisors (see below), whose sum is σ = 159674399539200. Its totient is φ = 63621670579200.

The previous prime is 101000011111079. The next prime is 101000011111117. The reversal of 101000011111101 is 101111110000101.

It is not a de Polignac number, because 101000011111101 - 2⁶ = 101000011111037 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 (101000011611101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3066257890 + ... + 3066290828.

It is an arithmetic number, because the mean of its divisors is an integer number (1663274995200).

Almost surely, 2^{101000011111101} is an apocalyptic number.

It is an amenable number.

101000011111101 is a deficient number, since it is larger than the sum of its proper divisors (58674388428099).

101000011111101 is a wasteful number, since it uses less digits than its factorization.

101000011111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34701 (or 34689 counting only the distinct ones).

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

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

The spelling of 101000011111101 in words is "one hundred one trillion, eleven million, one hundred eleven thousand, one hundred one".