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2221201011181 is a prime number
BaseRepresentation
bin100000010100101001111…
…001011011000111101101
321212100022022120111022211
4200110221321123013231
5242343004424324211
64420223342210421
7316322301035215
oct40245171330755
97770268514284
102221201011181
11787008078529
122ba597883a11
131315c6017979
147971456b245
153cba2857e21
hex20529e5b1ed

2221201011181 has 2 divisors, whose sum is σ = 2221201011182. Its totient is φ = 2221201011180.

The previous prime is 2221201011109. The next prime is 2221201011223. The reversal of 2221201011181 is 1811101021222.

It is a happy number.

2221201011181 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., 2187171830281 + 34029180900 = 1478909^2 + 184470^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221201011181 - 213 = 2221201002989 is a prime.

It is a super-2 number, since 2×22212010111812 (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 (2221201011781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110600505590 + 1110600505591.

It is an arithmetic number, because the mean of its divisors is an integer number (1110600505591).

Almost surely, 22221201011181 is an apocalyptic number.

It is an amenable number.

2221201011181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221201011181 is an equidigital number, since it uses as much as digits as its factorization.

2221201011181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 2221201011181 in words is "two trillion, two hundred twenty-one billion, two hundred one million, eleven thousand, one hundred eighty-one".