101101211211997 has 2 divisors, whose sum is σ = 101101211211998. Its totient is φ = 101101211211996.

The previous prime is 101101211211989. The next prime is 101101211212031. The reversal of 101101211211997 is 799112112101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88080270941881 + 13020940270116 = 9385109^2 + 3608454^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101211211997 - 2³ = 101101211211989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101211215997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550605605998 + 50550605605999.

It is an arithmetic number, because the mean of its divisors is an integer number (50550605605999).

Almost surely, 2^{101101211211997} is an apocalyptic number.

It is an amenable number.

101101211211997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101211211997 is an equidigital number, since it uses as much as digits as its factorization.

101101211211997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 37.

The spelling of 101101211211997 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, two hundred eleven thousand, nine hundred ninety-seven".