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122110110193 is a prime number
BaseRepresentation
bin111000110111001010…
…1000110100111110001
3102200012001201022111211
41301232111012213301
54000040142011233
6132032511240121
711552000545111
oct1615625064761
9380161638454
10122110110193
1147871a79145
121b7ba519041
13b690404c96
145ca56a5041
15329a3685cd
hex1c6e5469f1

122110110193 has 2 divisors, whose sum is σ = 122110110194. Its totient is φ = 122110110192.

The previous prime is 122110110191. The next prime is 122110110223. The reversal of 122110110193 is 391011011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74850393744 + 47259716449 = 273588^2 + 217393^2 .

It is a cyclic number.

It is not a de Polignac number, because 122110110193 - 21 = 122110110191 is a prime.

It is a super-2 number, since 2×1221101101932 (a number of 23 digits) contains 22 as substring.

Together with 122110110191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122110110191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055055096 + 61055055097.

It is an arithmetic number, because the mean of its divisors is an integer number (61055055097).

Almost surely, 2122110110193 is an apocalyptic number.

It is an amenable number.

122110110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110110193 is an equidigital number, since it uses as much as digits as its factorization.

122110110193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 122110110193 in words is "one hundred twenty-two billion, one hundred ten million, one hundred ten thousand, one hundred ninety-three".