100211212001 has 2 divisors, whose sum is σ = 100211212002. Its totient is φ = 100211212000.

The previous prime is 100211211929. The next prime is 100211212007. The reversal of 100211212001 is 100212112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79411803601 + 20799408400 = 281801^2 + 144220^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211212001 - 2¹⁸ = 100210949857 is a prime.

It is not a weakly prime, because it can be changed into another prime (100211212007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105606000 + 50105606001.

It is an arithmetic number, because the mean of its divisors is an integer number (50105606001).

Almost surely, 2^100211212001 is an apocalyptic number.

It is an amenable number.

100211212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211212001 is an equidigital number, since it uses as much as digits as its factorization.

100211212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100211212001 its reverse (100212112001), we get a palindrome (200423324002).

The spelling of 100211212001 in words is "one hundred billion, two hundred eleven million, two hundred twelve thousand, one".