101011101100101 has 24 divisors (see below), whose sum is σ = 147639066493464. Its totient is φ = 66542526627840.

The previous prime is 101011101100069. The next prime is 101011101100157. The reversal of 101011101100101 is 101001101110101.

It can be written as a sum of positive squares in 4 ways, for example, as 59417965973025 + 41593135127076 = 7708305^2 + 6449274^2 .

It is not a de Polignac number, because 101011101100101 - 2⁵ = 101011101100069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101100171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89694486 + ... + 90813671.

It is an arithmetic number, because the mean of its divisors is an integer number (6151627770561).

Almost surely, 2^{101011101100101} is an apocalyptic number.

It is an amenable number.

101011101100101 is a deficient number, since it is larger than the sum of its proper divisors (46627965393363).

101011101100101 is a wasteful number, since it uses less digits than its factorization.

101011101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180508901 (or 180508898 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011101100101 its reverse (101001101110101), we get a palindrome (202012202210202).

The spelling of 101011101100101 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred thousand, one hundred one".