21122010101 has 2 divisors, whose sum is σ = 21122010102. Its totient is φ = 21122010100.

The previous prime is 21122010071. The next prime is 21122010103. The reversal of 21122010101 is 10101022112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21029350225 + 92659876 = 145015^2 + 9626^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122010101 - 2²⁶ = 21054901237 is a prime.

It is a super-2 number, since 2×21122010101² (a number of 21 digits) contains 22 as substring.

Together with 21122010103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561005050 + 10561005051.

It is an arithmetic number, because the mean of its divisors is an integer number (10561005051).

Almost surely, 2^21122010101 is an apocalyptic number.

It is an amenable number.

21122010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122010101 is an equidigital number, since it uses as much as digits as its factorization.

21122010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21122010101 its reverse (10101022112), we get a palindrome (31223032213).

The spelling of 21122010101 in words is "twenty-one billion, one hundred twenty-two million, ten thousand, one hundred one".