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122203210311101 is a prime number
BaseRepresentation
bin11011110010010010100110…
…111100001110010110111101
3121000200111211211200021100002
4123302102212330032112331
5112004134133314423401
61111523214012044045
734511614320632633
oct3362224674162675
9530614754607302
10122203210311101
1135a350aa431467
1211857973a63625
13532593711c07a
14222694a111353
15e1dbbc840a6b
hex6f24a6f0e5bd

122203210311101 has 2 divisors, whose sum is σ = 122203210311102. Its totient is φ = 122203210311100.

The previous prime is 122203210311097. The next prime is 122203210311107. The reversal of 122203210311101 is 101113012302221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117847829139076 + 4355381172025 = 10855774^2 + 2086955^2 .

It is an emirp because it is prime and its reverse (101113012302221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122203210311101 - 22 = 122203210311097 is a prime.

It is a super-2 number, since 2×1222032103111012 (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 (122203210311107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101605155550 + 61101605155551.

It is an arithmetic number, because the mean of its divisors is an integer number (61101605155551).

Almost surely, 2122203210311101 is an apocalyptic number.

It is an amenable number.

122203210311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122203210311101 is an equidigital number, since it uses as much as digits as its factorization.

122203210311101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122203210311101 its reverse (101113012302221), we get a palindrome (223316222613322).

The spelling of 122203210311101 in words is "one hundred twenty-two trillion, two hundred three billion, two hundred ten million, three hundred eleven thousand, one hundred one".