101100010001101 has 4 divisors (see below), whose sum is σ = 101218532874172. Its totient is φ = 100981487128032.

The previous prime is 101100010001057. The next prime is 101100010001129.

It is a happy number.

101100010001101 is nontrivially palindromic in base 10.

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 33216433756900 + 67883576244201 = 5763370^2 + 8239149^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100010001101 - 2⁹ = 101100010000589 is a prime.

101100010001101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010001141) 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, 59261435256 + ... + 59261436961.

It is an arithmetic number, because the mean of its divisors is an integer number (25304633218543).

Almost surely, 2^{101100010001101} is an apocalyptic number.

It is an amenable number.

101100010001101 is a deficient number, since it is larger than the sum of its proper divisors (118522873071).

101100010001101 is an equidigital number, since it uses as much as digits as its factorization.

101100010001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118522873070.

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

The spelling of 101100010001101 in words is "one hundred one trillion, one hundred billion, ten million, one thousand, one hundred one".