101212212100121 has 2 divisors, whose sum is σ = 101212212100122. Its totient is φ = 101212212100120.

The previous prime is 101212212100099. The next prime is 101212212100147. The reversal of 101212212100121 is 121001212212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100975567795600 + 236644304521 = 10048660^2 + 486461^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212212100121 - 2⁶ = 101212212100057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101212212100121.

It is not a weakly prime, because it can be changed into another prime (101212212108121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606106050060 + 50606106050061.

It is an arithmetic number, because the mean of its divisors is an integer number (50606106050061).

Almost surely, 2^{101212212100121} is an apocalyptic number.

It is an amenable number.

101212212100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212212100121 is an equidigital number, since it uses as much as digits as its factorization.

101212212100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101212212100121 its reverse (121001212212101), we get a palindrome (222213424312222).

The spelling of 101212212100121 in words is "one hundred one trillion, two hundred twelve billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".