212121102312001 has 2 divisors, whose sum is σ = 212121102312002. Its totient is φ = 212121102312000.

The previous prime is 212121102311983. The next prime is 212121102312017. The reversal of 212121102312001 is 100213201121212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184245331690000 + 27875770622001 = 13573700^2 + 5279751^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121102312001 - 2⁵ = 212121102311969 is a prime.

It is a super-3 number, since 3×212121102312001³ (a number of 44 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 212121102312001.

It is not a weakly prime, because it can be changed into another prime (212121102312901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060551156000 + 106060551156001.

It is an arithmetic number, because the mean of its divisors is an integer number (106060551156001).

Almost surely, 2^{212121102312001} is an apocalyptic number.

It is an amenable number.

212121102312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121102312001 is an equidigital number, since it uses as much as digits as its factorization.

212121102312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 212121102312001 its reverse (100213201121212), we get a palindrome (312334303433213).

The spelling of 212121102312001 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred two million, three hundred twelve thousand, one".