10221221221957 has 2 divisors, whose sum is σ = 10221221221958. Its totient is φ = 10221221221956.

The previous prime is 10221221221921. The next prime is 10221221221969. The reversal of 10221221221957 is 75912212212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6050350384516 + 4170870837441 = 2459746^2 + 2042271^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221221221957 - 2³¹ = 10219073738309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221221221357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110610610978 + 5110610610979.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610610979).

Almost surely, 2^{10221221221957} is an apocalyptic number.

It is an amenable number.

10221221221957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221221221957 is an equidigital number, since it uses as much as digits as its factorization.

10221221221957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 10221221221957 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred fifty-seven".