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101211101112181 is a prime number
BaseRepresentation
bin10111000000110100001011…
…101110101010011101110101
3111021100200112122201120100011
4113000310023232222131311
5101231220313341042211
6555131423222420221
730214155302554654
oct2700641356523565
9437320478646304
10101211101112181
112a281429012145
12b427480b91671
13446222059b088
15ba7aedd6d921
hex5c0d0bbaa775

101211101112181 has 2 divisors, whose sum is σ = 101211101112182. Its totient is φ = 101211101112180.

The previous prime is 101211101112179. The next prime is 101211101112221. The reversal of 101211101112181 is 181211101112101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100359642777156 + 851458335025 = 10017966^2 + 922745^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211101112181 - 21 = 101211101112179 is a prime.

It is a super-2 number, since 2×1012111011121812 (a number of 29 digits) contains 22 as substring.

Together with 101211101112179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211101113181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605550556090 + 50605550556091.

It is an arithmetic number, because the mean of its divisors is an integer number (50605550556091).

Almost surely, 2101211101112181 is an apocalyptic number.

It is an amenable number.

101211101112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211101112181 is an equidigital number, since it uses as much as digits as its factorization.

101211101112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 22.

Adding to 101211101112181 its reverse (181211101112101), we get a palindrome (282422202224282).

The spelling of 101211101112181 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred eighty-one".