100212100221689 has 2 divisors, whose sum is σ = 100212100221690. Its totient is φ = 100212100221688.

The previous prime is 100212100221659. The next prime is 100212100221791. The reversal of 100212100221689 is 986122001212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85034125746025 + 15177974475664 = 9221395^2 + 3895892^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212100221689 - 2⁸ = 100212100221433 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212100221659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106050110844 + 50106050110845.

It is an arithmetic number, because the mean of its divisors is an integer number (50106050110845).

Almost surely, 2^{100212100221689} is an apocalyptic number.

It is an amenable number.

100212100221689 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212100221689 is an equidigital number, since it uses as much as digits as its factorization.

100212100221689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 100212100221689 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred twenty-one thousand, six hundred eighty-nine".