2121011221249 has 2 divisors, whose sum is σ = 2121011221250. Its totient is φ = 2121011221248.

The previous prime is 2121011221157. The next prime is 2121011221309. The reversal of 2121011221249 is 9421221101212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2026261147024 + 94750074225 = 1423468^2 + 307815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121011221249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121011021249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060505610624 + 1060505610625.

It is an arithmetic number, because the mean of its divisors is an integer number (1060505610625).

Almost surely, 2^{2121011221249} is an apocalyptic number.

It is an amenable number.

2121011221249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121011221249 is an equidigital number, since it uses as much as digits as its factorization.

2121011221249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 2121011221249 in words is "two trillion, one hundred twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred forty-nine".