100212110201993 has 2 divisors, whose sum is σ = 100212110201994. Its totient is φ = 100212110201992.

The previous prime is 100212110201953. The next prime is 100212110202037. The reversal of 100212110201993 is 399102011212001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97374108380224 + 2838001821769 = 9867832^2 + 1684637^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212110201993 - 2³² = 100207815234697 is a prime.

It is a super-2 number, since 2×100212110201993² (a number of 29 digits) contains 22 as substring.

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 (100212110201933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106055100996 + 50106055100997.

It is an arithmetic number, because the mean of its divisors is an integer number (50106055100997).

Almost surely, 2^{100212110201993} is an apocalyptic number.

It is an amenable number.

100212110201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212110201993 is an equidigital number, since it uses as much as digits as its factorization.

100212110201993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

Adding to 100212110201993 its reverse (399102011212001), we get a palindrome (499314121413994).

The spelling of 100212110201993 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred one thousand, nine hundred ninety-three".