21121201122953 has 2 divisors, whose sum is σ = 21121201122954. Its totient is φ = 21121201122952.

The previous prime is 21121201122943. The next prime is 21121201123051. The reversal of 21121201122953 is 35922110212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21120532021264 + 669101689 = 4595708^2 + 25867^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121201122953 - 2³⁸ = 20846323216009 is a prime.

It is a super-2 number, since 2×21121201122953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21121201122943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560600561476 + 10560600561477.

It is an arithmetic number, because the mean of its divisors is an integer number (10560600561477).

Almost surely, 2^{21121201122953} is an apocalyptic number.

It is an amenable number.

21121201122953 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121201122953 is an equidigital number, since it uses as much as digits as its factorization.

21121201122953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 21121201122953 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, nine hundred fifty-three".