21221001121037 has 2 divisors, whose sum is σ = 21221001121038. Its totient is φ = 21221001121036.

The previous prime is 21221001120899. The next prime is 21221001121039. The reversal of 21221001121037 is 73012110012212.

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., 11137397751076 + 10083603369961 = 3337274^2 + 3175469^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221001121037 - 2¹⁰ = 21221001120013 is a prime.

It is a super-2 number, since 2×21221001121037² (a number of 27 digits) contains 22 as substring.

Together with 21221001121039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221001121039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610500560518 + 10610500560519.

It is an arithmetic number, because the mean of its divisors is an integer number (10610500560519).

Almost surely, 2^{21221001121037} is an apocalyptic number.

It is an amenable number.

21221001121037 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221001121037 is an equidigital number, since it uses as much as digits as its factorization.

21221001121037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 21221001121037 its reverse (73012110012212), we get a palindrome (94233111133249).

The spelling of 21221001121037 in words is "twenty-one trillion, two hundred twenty-one billion, one million, one hundred twenty-one thousand, thirty-seven".