100212212220961 has 2 divisors, whose sum is σ = 100212212220962. Its totient is φ = 100212212220960.

The previous prime is 100212212220931. The next prime is 100212212221001. The reversal of 100212212220961 is 169022212212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95166658515600 + 5045553705361 = 9755340^2 + 2246231^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212212220961 - 2¹⁹ = 100212211696673 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212212220931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106106110480 + 50106106110481.

It is an arithmetic number, because the mean of its divisors is an integer number (50106106110481).

Almost surely, 2^{100212212220961} is an apocalyptic number.

It is an amenable number.

100212212220961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212212220961 is an equidigital number, since it uses as much as digits as its factorization.

100212212220961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 31.

Adding to 100212212220961 its reverse (169022212212001), we get a palindrome (269234424432962).

The spelling of 100212212220961 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, two hundred twenty thousand, nine hundred sixty-one".