12002100101249 has 2 divisors, whose sum is σ = 12002100101250. Its totient is φ = 12002100101248.

The previous prime is 12002100101221. The next prime is 12002100101261. The reversal of 12002100101249 is 94210100120021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11265635770624 + 736464330625 = 3356432^2 + 858175^2 .

It is an emirp because it is prime and its reverse (94210100120021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002100101249 - 2⁸ = 12002100100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002100101149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001050050624 + 6001050050625.

It is an arithmetic number, because the mean of its divisors is an integer number (6001050050625).

Almost surely, 2^{12002100101249} is an apocalyptic number.

It is an amenable number.

12002100101249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002100101249 is an equidigital number, since it uses as much as digits as its factorization.

12002100101249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12002100101249 in words is "twelve trillion, two billion, one hundred million, one hundred one thousand, two hundred forty-nine".