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202212222211201 is a prime number
BaseRepresentation
bin101101111110100100110011…
…101011001001010010000001
3222111222022002110000020211211
4231332210303223021102001
5203001021112341224301
61554023002405010121
760410231241666436
oct5576446353112201
9874868073006754
10202212222211201
11594817a385a524
121a81a1000b3941
1388aa6b9039c47
1437d11a38d7b8d
15185a00d507051
hexb7e933ac9481

202212222211201 has 2 divisors, whose sum is σ = 202212222211202. Its totient is φ = 202212222211200.

The previous prime is 202212222211157. The next prime is 202212222211211. The reversal of 202212222211201 is 102112222212202.

202212222211201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198516123680625 + 3696098530576 = 14089575^2 + 1922524^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212222211201 - 227 = 202212087993473 is a prime.

It is not a weakly prime, because it can be changed into another prime (202212222211211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106111105600 + 101106111105601.

It is an arithmetic number, because the mean of its divisors is an integer number (101106111105601).

Almost surely, 2202212222211201 is an apocalyptic number.

It is an amenable number.

202212222211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212222211201 is an equidigital number, since it uses as much as digits as its factorization.

202212222211201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202212222211201 its reverse (102112222212202), we get a palindrome (304324444423403).

The spelling of 202212222211201 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred one".