101100201100101 has 48 divisors (see below), whose sum is σ = 167539817263104. Its totient is φ = 57548560201632.

The previous prime is 101100201100079. The next prime is 101100201100123. The reversal of 101100201100101 is 101001102001101.

It is an interprime number because it is at equal distance from previous prime (101100201100079) and next prime (101100201100123).

It is not a de Polignac number, because 101100201100101 - 2³⁸ = 100825323193157 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 (101100201100141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302830470 + ... + 303164136.

It is an arithmetic number, because the mean of its divisors is an integer number (3490412859648).

Almost surely, 2^{101100201100101} is an apocalyptic number.

It is an amenable number.

101100201100101 is a deficient number, since it is larger than the sum of its proper divisors (66439616163003).

101100201100101 is a wasteful number, since it uses less digits than its factorization.

101100201100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352230 (or 352227 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101100201100101 its reverse (101001102001101), we get a palindrome (202101303101202).

The spelling of 101100201100101 in words is "one hundred one trillion, one hundred billion, two hundred one million, one hundred thousand, one hundred one".