101000110100101 has 16 divisors (see below), whose sum is σ = 106225600618368. Its totient is φ = 95844546740800.

The previous prime is 101000110100093. The next prime is 101000110100171. The reversal of 101000110100101 is 101001011000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101000110100101 - 2³ = 101000110100093 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 (101000110100171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6109095 + ... + 15470011.

It is an arithmetic number, because the mean of its divisors is an integer number (6639100038648).

Almost surely, 2^{101000110100101} is an apocalyptic number.

It is an amenable number.

101000110100101 is a deficient number, since it is larger than the sum of its proper divisors (5225490518267).

101000110100101 is a wasteful number, since it uses less digits than its factorization.

101000110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364652.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000110100101 its reverse (101001011000101), we get a palindrome (202001121100202).

The spelling of 101000110100101 in words is "one hundred one trillion, one hundred ten million, one hundred thousand, one hundred one".