122133122330101 has 2 divisors, whose sum is σ = 122133122330102. Its totient is φ = 122133122330100.

The previous prime is 122133122330053. The next prime is 122133122330113. The reversal of 122133122330101 is 101033221331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76615026506001 + 45518095824100 = 8753001^2 + 6746710^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133122330101 - 2¹⁷ = 122133122199029 is a prime.

It is a super-2 number, since 2×122133122330101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122133122330501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066561165050 + 61066561165051.

It is an arithmetic number, because the mean of its divisors is an integer number (61066561165051).

Almost surely, 2^{122133122330101} is an apocalyptic number.

It is an amenable number.

122133122330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133122330101 is an equidigital number, since it uses as much as digits as its factorization.

122133122330101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 122133122330101 its reverse (101033221331221), we get a palindrome (223166343661322).

The spelling of 122133122330101 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty thousand, one hundred one".