102101121002101 has 4 divisors (see below), whose sum is σ = 109955053386892. Its totient is φ = 94247188617312.

The previous prime is 102101121002087. The next prime is 102101121002147. The reversal of 102101121002101 is 101200121101201.

It is a happy number.

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 48251222616100 + 53849898386001 = 6946310^2 + 7338249^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101121002101 - 2¹⁹ = 102101120477813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 7853932384777 = 102101121002101 / (1 + 0 + 2 + 1 + 0 + 1 + 1 + 2 + 1 + 0 + 0 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101121042101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3926966192376 + ... + 3926966192401.

It is an arithmetic number, because the mean of its divisors is an integer number (27488763346723).

Almost surely, 2^{102101121002101} is an apocalyptic number.

It is an amenable number.

102101121002101 is a deficient number, since it is larger than the sum of its proper divisors (7853932384791).

102101121002101 is an equidigital number, since it uses as much as digits as its factorization.

102101121002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853932384790.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101121002101 its reverse (101200121101201), we get a palindrome (203301242103302).

The spelling of 102101121002101 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-one million, two thousand, one hundred one".