22121102112101 has 2 divisors, whose sum is σ = 22121102112102. Its totient is φ = 22121102112100.

The previous prime is 22121102112059. The next prime is 22121102112103. The reversal of 22121102112101 is 10121120112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15748754140900 + 6372347971201 = 3968470^2 + 2524351^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121102112101 - 2⁴² = 17723055600997 is a prime.

Together with 22121102112103, 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 22121102112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121102112103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060551056050 + 11060551056051.

It is an arithmetic number, because the mean of its divisors is an integer number (11060551056051).

Almost surely, 2^{22121102112101} is an apocalyptic number.

It is an amenable number.

22121102112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121102112101 is an equidigital number, since it uses as much as digits as its factorization.

22121102112101 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 22121102112101 its reverse (10121120112122), we get a palindrome (32242222224223).

The spelling of 22121102112101 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, one hundred twelve thousand, one hundred one".