12001101002101 has 2 divisors, whose sum is σ = 12001101002102. Its totient is φ = 12001101002100.

The previous prime is 12001101002087. The next prime is 12001101002117. The reversal of 12001101002101 is 10120010110021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8933702544900 + 3067398457201 = 2988930^2 + 1751399^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001101002101 - 2³⁵ = 11966741263733 is a prime.

It is a super-4 number, since 4×12001101002101⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001101002161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000550501050 + 6000550501051.

It is an arithmetic number, because the mean of its divisors is an integer number (6000550501051).

Almost surely, 2^{12001101002101} is an apocalyptic number.

It is an amenable number.

12001101002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001101002101 is an equidigital number, since it uses as much as digits as its factorization.

12001101002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12001101002101 its reverse (10120010110021), we get a palindrome (22121111112122).

The spelling of 12001101002101 in words is "twelve trillion, one billion, one hundred one million, two thousand, one hundred one".