101000111110101 has 36 divisors (see below), whose sum is σ = 169731929221452. Its totient is φ = 57706099000704.

The previous prime is 101000111110081. The next prime is 101000111110127. The reversal of 101000111110101 is 101011111000101.

It can be written as a sum of positive squares in 2 ways, for example, as 55912243547601 + 45087867562500 = 7477449^2 + 6714750^2 .

It is not a de Polignac number, because 101000111110101 - 2³⁵ = 100965751371733 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 (101000111110141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13280280 + ... + 19451633.

It is an arithmetic number, because the mean of its divisors is an integer number (4714775811707).

Almost surely, 2^{101000111110101} is an apocalyptic number.

It is an amenable number.

101000111110101 is a deficient number, since it is larger than the sum of its proper divisors (68731818111351).

101000111110101 is a wasteful number, since it uses less digits than its factorization.

101000111110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32738930 (or 32738920 counting only the distinct ones).

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

Adding to 101000111110101 its reverse (101011111000101), we get a palindrome (202011222110202).

The spelling of 101000111110101 in words is "one hundred one trillion, one hundred eleven million, one hundred ten thousand, one hundred one".