101100102000101 has 4 divisors (see below), whose sum is σ = 101106550137600. Its totient is φ = 101093653862604.

The previous prime is 101100102000041. The next prime is 101100102000167. The reversal of 101100102000101 is 101000201001101.

It is a happy number.

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 101100102000101 - 2³⁸ = 100825224093157 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 (101100102800101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3224045231 + ... + 3224076588.

It is an arithmetic number, because the mean of its divisors is an integer number (25276637534400).

Almost surely, 2^{101100102000101} is an apocalyptic number.

It is an amenable number.

101100102000101 is a deficient number, since it is larger than the sum of its proper divisors (6448137499).

101100102000101 is an equidigital number, since it uses as much as digits as its factorization.

101100102000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448137498.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100102000101 its reverse (101000201001101), we get a palindrome (202100303001202).

It can be divided in two parts, 101100 and 102000101, that added together give a palindrome (102101201).

The spelling of 101100102000101 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred one", and thus it is an aban number.