101010000111101 has 4 divisors (see below), whose sum is σ = 102010099122204. Its totient is φ = 100009901100000.

The previous prime is 101010000111079. The next prime is 101010000111127. The reversal of 101010000111101 is 101111000010101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 97294747716100 + 3715252395001 = 9863810^2 + 1927499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000111101 - 2¹⁸ = 101009999848957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010000111401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500049505400 + ... + 500049505601.

It is an arithmetic number, because the mean of its divisors is an integer number (25502524780551).

Almost surely, 2^{101010000111101} is an apocalyptic number.

It is an amenable number.

101010000111101 is a deficient number, since it is larger than the sum of its proper divisors (1000099011103).

101010000111101 is a wasteful number, since it uses less digits than its factorization.

101010000111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000099011102.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101010000111101 its reverse (101111000010101), we get a palindrome (202121000121202).

It can be divided in two parts, 101010000 and 111101, that added together give a palindrome (101121101).

The spelling of 101010000111101 in words is "one hundred one trillion, ten billion, one hundred eleven thousand, one hundred one".