12100221000101 has 8 divisors (see below), whose sum is σ = 13108113784920. Its totient is φ = 11169434767296.

The previous prime is 12100221000013. The next prime is 12100221000107. The reversal of 12100221000101 is 10100012200121.

It can be written as a sum of positive squares in 4 ways, for example, as 915035730625 + 11185185269476 = 956575^2 + 3344426^2 .

It is not a de Polignac number, because 12100221000101 - 2¹⁴ = 12100220983717 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 (12100221000107) 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 7 ways as a sum of consecutive naturals, for example, 2753803220 + ... + 2753807613.

It is an arithmetic number, because the mean of its divisors is an integer number (1638514223115).

Almost surely, 2^{12100221000101} is an apocalyptic number.

It is an amenable number.

12100221000101 is a deficient number, since it is larger than the sum of its proper divisors (1007892784819).

12100221000101 is an frugal number, since it uses more digits than its factorization.

12100221000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507610872 (or 5507610846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100221000101 its reverse (10100012200121), we get a palindrome (22200233200222).

The spelling of 12100221000101 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, one hundred one", and thus it is an aban number.