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122113332213101 is a prime number
BaseRepresentation
bin11011110000111110111001…
…110010011111010101101101
3121000100220212002011211022122
4123300332321302133111231
5112001201101021304401
61111414031304322325
734502253131461535
oct3360767162372555
9530326762154278
10122113332213101
11359aaa78601129
121184246ba733a5
13531a31263b668
1422224614a64c5
15e1b6ac04321b
hex6f0fb9c9f56d

122113332213101 has 2 divisors, whose sum is σ = 122113332213102. Its totient is φ = 122113332213100.

The previous prime is 122113332213073. The next prime is 122113332213163. The reversal of 122113332213101 is 101312233311221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91810795422025 + 30302536791076 = 9581795^2 + 5504774^2 .

It is an emirp because it is prime and its reverse (101312233311221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122113332213101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122113332293101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056666106550 + 61056666106551.

It is an arithmetic number, because the mean of its divisors is an integer number (61056666106551).

Almost surely, 2122113332213101 is an apocalyptic number.

It is an amenable number.

122113332213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113332213101 is an equidigital number, since it uses as much as digits as its factorization.

122113332213101 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 26.

Adding to 122113332213101 its reverse (101312233311221), we get a palindrome (223425565524322).

The spelling of 122113332213101 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred one".