20021101121249 has 2 divisors, whose sum is σ = 20021101121250. Its totient is φ = 20021101121248.

The previous prime is 20021101121209. The next prime is 20021101121257. The reversal of 20021101121249 is 94212110112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19398801021649 + 622300099600 = 4404407^2 + 788860^2 .

It is a cyclic number.

It is not a de Polignac number, because 20021101121249 - 2²⁸ = 20020832685793 is a prime.

It is not a weakly prime, because it can be changed into another prime (20021101121209) 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 as a sum of consecutive naturals, namely, 10010550560624 + 10010550560625.

It is an arithmetic number, because the mean of its divisors is an integer number (10010550560625).

Almost surely, 2^{20021101121249} is an apocalyptic number.

It is an amenable number.

20021101121249 is a deficient number, since it is larger than the sum of its proper divisors (1).

20021101121249 is an equidigital number, since it uses as much as digits as its factorization.

20021101121249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 20021101121249 in words is "twenty trillion, twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred forty-nine".