101122209121 has 2 divisors, whose sum is σ = 101122209122. Its totient is φ = 101122209120.

The previous prime is 101122209119. The next prime is 101122209143. The reversal of 101122209121 is 121902221101.

It is an a-pointer prime, because the next prime (101122209143) can be obtained adding 101122209121 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75866642721 + 25255566400 = 275439^2 + 158920^2 .

It is an emirp because it is prime and its reverse (121902221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122209121 - 2¹ = 101122209119 is a prime.

It is a super-2 number, since 2×101122209121² (a number of 23 digits) contains 22 as substring.

Together with 101122209119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101122209092 and 101122209101.

It is not a weakly prime, because it can be changed into another prime (101122209421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561104560 + 50561104561.

It is an arithmetic number, because the mean of its divisors is an integer number (50561104561).

Almost surely, 2^101122209121 is an apocalyptic number.

It is an amenable number.

101122209121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122209121 is an equidigital number, since it uses as much as digits as its factorization.

101122209121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101122209121 in words is "one hundred one billion, one hundred twenty-two million, two hundred nine thousand, one hundred twenty-one".