21221133912337 has 2 divisors, whose sum is σ = 21221133912338. Its totient is φ = 21221133912336.

The previous prime is 21221133912323. The next prime is 21221133912371. The reversal of 21221133912337 is 73321933112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21077795195136 + 143338717201 = 4591056^2 + 378601^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221133912337 - 2¹¹ = 21221133910289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21221133912337.

It is not a weakly prime, because it can be changed into another prime (21221133918337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610566956168 + 10610566956169.

It is an arithmetic number, because the mean of its divisors is an integer number (10610566956169).

Almost surely, 2^{21221133912337} is an apocalyptic number.

It is an amenable number.

21221133912337 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221133912337 is an equidigital number, since it uses as much as digits as its factorization.

21221133912337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 40.

The spelling of 21221133912337 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred thirty-three million, nine hundred twelve thousand, three hundred thirty-seven".