21312122002049 has 2 divisors, whose sum is σ = 21312122002050. Its totient is φ = 21312122002048.

The previous prime is 21312122002009. The next prime is 21312122002057. The reversal of 21312122002049 is 94020022121312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21198059098225 + 114062903824 = 4604135^2 + 337732^2 .

It is a cyclic number.

It is not a de Polignac number, because 21312122002049 - 2¹⁶ = 21312121936513 is a prime.

It is not a weakly prime, because it can be changed into another prime (21312122002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656061001024 + 10656061001025.

It is an arithmetic number, because the mean of its divisors is an integer number (10656061001025).

Almost surely, 2^{21312122002049} is an apocalyptic number.

It is an amenable number.

21312122002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312122002049 is an equidigital number, since it uses as much as digits as its factorization.

21312122002049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 21312122002049 in words is "twenty-one trillion, three hundred twelve billion, one hundred twenty-two million, two thousand, forty-nine".