122011332101 has 2 divisors, whose sum is σ = 122011332102. Its totient is φ = 122011332100.

The previous prime is 122011332073. The next prime is 122011332137. The reversal of 122011332101 is 101233110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115753731076 + 6257601025 = 340226^2 + 79105^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011332101 - 2³⁴ = 104831462917 is a prime.

It is a super-2 number, since 2×122011332101² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122011332101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122011332161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005666050 + 61005666051.

It is an arithmetic number, because the mean of its divisors is an integer number (61005666051).

Almost surely, 2^122011332101 is an apocalyptic number.

It is an amenable number.

122011332101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011332101 is an equidigital number, since it uses as much as digits as its factorization.

122011332101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122011332101 its reverse (101233110221), we get a palindrome (223244442322).

The spelling of 122011332101 in words is "one hundred twenty-two billion, eleven million, three hundred thirty-two thousand, one hundred one".