22000021112101 has 2 divisors, whose sum is σ = 22000021112102. Its totient is φ = 22000021112100.

The previous prime is 22000021112077. The next prime is 22000021112123. The reversal of 22000021112101 is 10121112000022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21956028147076 + 43992965025 = 4685726^2 + 209745^2 .

It is a cyclic number.

It is not a de Polignac number, because 22000021112101 - 2¹³ = 22000021103909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22000021112801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000010556050 + 11000010556051.

It is an arithmetic number, because the mean of its divisors is an integer number (11000010556051).

Almost surely, 2^{22000021112101} is an apocalyptic number.

It is an amenable number.

22000021112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000021112101 is an equidigital number, since it uses as much as digits as its factorization.

22000021112101 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 13.

Adding to 22000021112101 its reverse (10121112000022), we get a palindrome (32121133112123).

The spelling of 22000021112101 in words is "twenty-two trillion, twenty-one million, one hundred twelve thousand, one hundred one".