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222123102101 is a prime number
BaseRepresentation
bin1100111011011110010…
…0011000111110010101
3210020100010210201022022
43032313210120332111
512114402003231401
6250013020542525
722022263133645
oct3166744307625
9706303721268
10222123102101
118622477825a
12370706b1a45
1317c3b813034
14aa72348525
155ba07bc71b
hex33b7918f95

222123102101 has 2 divisors, whose sum is σ = 222123102102. Its totient is φ = 222123102100.

The previous prime is 222123102043. The next prime is 222123102109. The reversal of 222123102101 is 101201321222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213999685201 + 8123416900 = 462601^2 + 90130^2 .

It is a cyclic number.

It is not a de Polignac number, because 222123102101 - 26 = 222123102037 is a prime.

It is a super-2 number, since 2×2221231021012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222123102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222123102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061551050 + 111061551051.

It is an arithmetic number, because the mean of its divisors is an integer number (111061551051).

Almost surely, 2222123102101 is an apocalyptic number.

It is an amenable number.

222123102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222123102101 is an equidigital number, since it uses as much as digits as its factorization.

222123102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 222123102101 its reverse (101201321222), we get a palindrome (323324423323).

The spelling of 222123102101 in words is "two hundred twenty-two billion, one hundred twenty-three million, one hundred two thousand, one hundred one".