100212211121993 has 2 divisors, whose sum is σ = 100212211121994. Its totient is φ = 100212211121992.

The previous prime is 100212211121963. The next prime is 100212211122007. The reversal of 100212211121993 is 399121112212001.

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., 98295168729664 + 1917042392329 = 9914392^2 + 1384573^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212211121993 - 2⁶ = 100212211121929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100212211121903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106105560996 + 50106105560997.

It is an arithmetic number, because the mean of its divisors is an integer number (50106105560997).

Almost surely, 2^{100212211121993} is an apocalyptic number.

It is an amenable number.

100212211121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212211121993 is an equidigital number, since it uses as much as digits as its factorization.

100212211121993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 35.

Adding to 100212211121993 its reverse (399121112212001), we get a palindrome (499333323333994).

The spelling of 100212211121993 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, nine hundred ninety-three".