100212110211001 has 2 divisors, whose sum is σ = 100212110211002. Its totient is φ = 100212110211000.

The previous prime is 100212110210983. The next prime is 100212110211023. The reversal of 100212110211001 is 100112011212001.

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., 78280450445376 + 21931659765625 = 8847624^2 + 4683125^2 .

It is an emirp because it is prime and its reverse (100112011212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100212110211001 - 2⁷ = 100212110210873 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212110211061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106055105500 + 50106055105501.

It is an arithmetic number, because the mean of its divisors is an integer number (50106055105501).

Almost surely, 2^{100212110211001} is an apocalyptic number.

It is an amenable number.

100212110211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212110211001 is an equidigital number, since it uses as much as digits as its factorization.

100212110211001 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 13.

Adding to 100212110211001 its reverse (100112011212001), we get a palindrome (200324121423002).

The spelling of 100212110211001 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred eleven thousand, one".