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222112141523101 is a prime number
BaseRepresentation
bin110010100000001010000011…
…010010111011100010011101
31002010102201021001000000222201
4302200022003102323202131
5213103041131212214401
62104220524214411501
764533033632142514
oct6240120322734235
91063381231000881
10222112141523101
1164854259490285
1220ab29a2960b91
1396c2114b9c8bb
143cbc3dc0cd67b
151aa29a7015b01
hexca02834bb89d

222112141523101 has 2 divisors, whose sum is σ = 222112141523102. Its totient is φ = 222112141523100.

The previous prime is 222112141523023. The next prime is 222112141523137. The reversal of 222112141523101 is 101325141211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193319269444900 + 28792872078201 = 13903930^2 + 5365899^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112141523101 - 227 = 222112007305373 is a prime.

It is a super-3 number, since 3×2221121415231013 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222112141523101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222112142523101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056070761550 + 111056070761551.

It is an arithmetic number, because the mean of its divisors is an integer number (111056070761551).

Almost surely, 2222112141523101 is an apocalyptic number.

It is an amenable number.

222112141523101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112141523101 is an equidigital number, since it uses as much as digits as its factorization.

222112141523101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 222112141523101 its reverse (101325141211222), we get a palindrome (323437282734323).

The spelling of 222112141523101 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred forty-one million, five hundred twenty-three thousand, one hundred one".