101111100000101 has 4 divisors (see below), whose sum is σ = 102112200000204. Its totient is φ = 100110000000000.

The previous prime is 101111100000091. The next prime is 101111100000103. The reversal of 101111100000101 is 101000001111101.

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 89904038187076 + 11207061813025 = 9481774^2 + 3347695^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111100000101 - 2³⁸ = 100836222093157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100000103) 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, 500549999900 + ... + 500550000101.

It is an arithmetic number, because the mean of its divisors is an integer number (25528050000051).

Almost surely, 2^{101111100000101} is an apocalyptic number.

It is an amenable number.

101111100000101 is a deficient number, since it is larger than the sum of its proper divisors (1001100000103).

101111100000101 is a wasteful number, since it uses less digits than its factorization.

101111100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001100000102.

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

Adding to 101111100000101 its reverse (101000001111101), we get a palindrome (202111101111202).

The spelling of 101111100000101 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred one", and thus it is an aban number.