101111010000101 has 4 divisors (see below), whose sum is σ = 101111891018604. Its totient is φ = 101110128981600.

The previous prime is 101111010000071. The next prime is 101111010000113. The reversal of 101111010000101 is 101000010111101.

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 1714596449476 + 99396413550625 = 1309426^2 + 9969775^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111010000101 - 2¹⁴ = 101111009983717 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 (101111010000901) 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, 440337080 + ... + 440566641.

It is an arithmetic number, because the mean of its divisors is an integer number (25277972754651).

Almost surely, 2^{101111010000101} is an apocalyptic number.

It is an amenable number.

101111010000101 is a deficient number, since it is larger than the sum of its proper divisors (881018503).

101111010000101 is an equidigital number, since it uses as much as digits as its factorization.

101111010000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881018502.

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

Adding to 101111010000101 its reverse (101000010111101), we get a palindrome (202111020111202).

The spelling of 101111010000101 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred one", and thus it is an aban number.