22122101010101 has 2 divisors, whose sum is σ = 22122101010102. Its totient is φ = 22122101010100.

The previous prime is 22122101010071. The next prime is 22122101010103. The reversal of 22122101010101 is 10101010122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12959820000625 + 9162281009476 = 3599975^2 + 3026926^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122101010101 - 2¹⁰ = 22122101009077 is a prime.

It is a super-2 number, since 2×22122101010101² (a number of 27 digits) contains 22 as substring.

Together with 22122101010103, it forms a pair of twin primes.

It is a Chen prime.

22122101010101 is a modest number, since divided by 1010101 gives 221221 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122101010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061050505050 + 11061050505051.

It is an arithmetic number, because the mean of its divisors is an integer number (11061050505051).

Almost surely, 2^{22122101010101} is an apocalyptic number.

It is an amenable number.

22122101010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122101010101 is an equidigital number, since it uses as much as digits as its factorization.

22122101010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22122101010101 its reverse (10101010122122), we get a palindrome (32223111132223).

It can be divided in two parts, 22122 and 101010101, that multiplied together give a palindrome (2234545454322).

The spelling of 22122101010101 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred one million, ten thousand, one hundred one".