Search a number
-
+
122200210221101 is a prime number
BaseRepresentation
bin11011110010001111110100…
…000111110010100000101101
3121000200020002202110220112122
4123302033310013302200231
5112004112012304033401
61111522000201442325
734511450061403565
oct3362176407624055
9530606082426478
10122200210221101
1135a338aaa0a441
12118572771a03a5
13532557970589c
1422267438c3da5
15e1da9428021b
hex6f23f41f282d

122200210221101 has 2 divisors, whose sum is σ = 122200210221102. Its totient is φ = 122200210221100.

The previous prime is 122200210221053. The next prime is 122200210221109. The reversal of 122200210221101 is 101122012002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121924637718601 + 275572502500 = 11041949^2 + 524950^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122200210221101 is a prime.

It is a super-2 number, since 2×1222002102211012 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122200210221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122200210221109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100105110550 + 61100105110551.

It is an arithmetic number, because the mean of its divisors is an integer number (61100105110551).

Almost surely, 2122200210221101 is an apocalyptic number.

It is an amenable number.

122200210221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200210221101 is an equidigital number, since it uses as much as digits as its factorization.

122200210221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122200210221101 its reverse (101122012002221), we get a palindrome (223322222223322).

The spelling of 122200210221101 in words is "one hundred twenty-two trillion, two hundred billion, two hundred ten million, two hundred twenty-one thousand, one hundred one".