101101222012121 has 2 divisors, whose sum is σ = 101101222012122. Its totient is φ = 101101222012120.

The previous prime is 101101222012099. The next prime is 101101222012123. The reversal of 101101222012121 is 121210222101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100017280746496 + 1083941265625 = 10000864^2 + 1041125^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101222012121 - 2¹⁴ = 101101221995737 is a prime.

Together with 101101222012123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101222012121.

It is not a weakly prime, because it can be changed into another prime (101101222012123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550611006060 + 50550611006061.

It is an arithmetic number, because the mean of its divisors is an integer number (50550611006061).

Almost surely, 2^{101101222012121} is an apocalyptic number.

It is an amenable number.

101101222012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101222012121 is an equidigital number, since it uses as much as digits as its factorization.

101101222012121 is an evil number, because the sum of its binary digits is even.

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

Adding to 101101222012121 its reverse (121210222101101), we get a palindrome (222311444113222).

The spelling of 101101222012121 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, twelve thousand, one hundred twenty-one".