102021222101957 has 2 divisors, whose sum is σ = 102021222101958. Its totient is φ = 102021222101956.

The previous prime is 102021222101933. The next prime is 102021222101969. The reversal of 102021222101957 is 759101222120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98541378093601 + 3479844008356 = 9926801^2 + 1865434^2 .

It is an emirp because it is prime and its reverse (759101222120201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102021222101957 - 2⁶ = 102021222101893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102021222101977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010611050978 + 51010611050979.

It is an arithmetic number, because the mean of its divisors is an integer number (51010611050979).

Almost surely, 2^{102021222101957} is an apocalyptic number.

It is an amenable number.

102021222101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021222101957 is an equidigital number, since it uses as much as digits as its factorization.

102021222101957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 102021222101957 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, nine hundred fifty-seven".