101000010111101 has 4 divisors (see below), whose sum is σ = 101063974653600. Its totient is φ = 100936045568604.

The previous prime is 101000010111089. The next prime is 101000010111107. The reversal of 101000010111101 is 101111010000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101000010111101 - 2¹⁴ = 101000010094717 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 (101000010111107) 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, 31982268881 + ... + 31982272038.

It is an arithmetic number, because the mean of its divisors is an integer number (25265993663400).

Almost surely, 2^{101000010111101} is an apocalyptic number.

It is an amenable number.

101000010111101 is a deficient number, since it is larger than the sum of its proper divisors (63964542499).

101000010111101 is an equidigital number, since it uses as much as digits as its factorization.

101000010111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63964542498.

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

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

The spelling of 101000010111101 in words is "one hundred one trillion, ten million, one hundred eleven thousand, one hundred one".