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2222202312101 is a prime number
BaseRepresentation
bin100000010101100101100…
…101000101010110100101
321212102220002200211222002
4200111211211011112211
5242402032242441401
64420510551415045
7316356146664662
oct40254545052645
97772802624862
102222202312101
117874812aa752
122ba817084485
131317255bc015
14797ab536a69
153cc106e4a6b
hex205659455a5

2222202312101 has 2 divisors, whose sum is σ = 2222202312102. Its totient is φ = 2222202312100.

The previous prime is 2222202312061. The next prime is 2222202312157. The reversal of 2222202312101 is 1012132022222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1191865659076 + 1030336653025 = 1091726^2 + 1015055^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222202312101 - 226 = 2222135203237 is a prime.

It is a super-2 number, since 2×22222023121012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222202312301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111101156050 + 1111101156051.

It is an arithmetic number, because the mean of its divisors is an integer number (1111101156051).

Almost surely, 22222202312101 is an apocalyptic number.

It is an amenable number.

2222202312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222202312101 is an equidigital number, since it uses as much as digits as its factorization.

2222202312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2222202312101 its reverse (1012132022222), we get a palindrome (3234334334323).

The spelling of 2222202312101 in words is "two trillion, two hundred twenty-two billion, two hundred two million, three hundred twelve thousand, one hundred one".