101212121221997 has 2 divisors, whose sum is σ = 101212121221998. Its totient is φ = 101212121221996.

The previous prime is 101212121221979. The next prime is 101212121222039. The reversal of 101212121221997 is 799122121212101.

Together with previous prime (101212121221979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99037407676516 + 2174713545481 = 9951754^2 + 1474691^2 .

It is an emirp because it is prime and its reverse (799122121212101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101212121221997 - 2²⁰ = 101212120173421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212121224997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606060610998 + 50606060610999.

It is an arithmetic number, because the mean of its divisors is an integer number (50606060610999).

Almost surely, 2^{101212121221997} is an apocalyptic number.

It is an amenable number.

101212121221997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212121221997 is an equidigital number, since it uses as much as digits as its factorization.

101212121221997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 101212121221997 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, nine hundred ninety-seven".