21022012010257 has 2 divisors, whose sum is σ = 21022012010258. Its totient is φ = 21022012010256.

The previous prime is 21022012010171. The next prime is 21022012010273. The reversal of 21022012010257 is 75201021022012.

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., 19026485668096 + 1995526342161 = 4361936^2 + 1412631^2 .

It is a cyclic number.

It is not a de Polignac number, because 21022012010257 - 2²⁷ = 21021877792529 is a prime.

It is a super-3 number, since 3×21022012010257³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21022012020257) 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, 10511006005128 + 10511006005129.

It is an arithmetic number, because the mean of its divisors is an integer number (10511006005129).

Almost surely, 2^{21022012010257} is an apocalyptic number.

It is an amenable number.

21022012010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

21022012010257 is an equidigital number, since it uses as much as digits as its factorization.

21022012010257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 21022012010257 its reverse (75201021022012), we get a palindrome (96223033032269).

The spelling of 21022012010257 in words is "twenty-one trillion, twenty-two billion, twelve million, ten thousand, two hundred fifty-seven".