101110221211997 has 2 divisors, whose sum is σ = 101110221211998. Its totient is φ = 101110221211996.

The previous prime is 101110221211931. The next prime is 101110221212047. The reversal of 101110221211997 is 799112122011101.

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., 93457578683716 + 7652642528281 = 9667346^2 + 2766341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110221211997 is a prime.

It is a super-3 number, since 3×101110221211997³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101110221211997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110221261997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555110605998 + 50555110605999.

It is an arithmetic number, because the mean of its divisors is an integer number (50555110605999).

Almost surely, 2^{101110221211997} is an apocalyptic number.

It is an amenable number.

101110221211997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110221211997 is an equidigital number, since it uses as much as digits as its factorization.

101110221211997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 38.

The spelling of 101110221211997 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, two hundred eleven thousand, nine hundred ninety-seven".