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202201011121 is a prime number
BaseRepresentation
bin1011110001010000011…
…1101001001110110001
3201022220201212122010211
42330110013221032301
511303101424323441
6232520113224121
720415505144024
oct2742407511661
9638821778124
10202201011121
117883122145a
1233230862041
13160b5315b15
149b025431bb
1553d67e0a81
hex2f141e93b1

202201011121 has 2 divisors, whose sum is σ = 202201011122. Its totient is φ = 202201011120.

The previous prime is 202201011119. The next prime is 202201011137. The reversal of 202201011121 is 121110102202.

202201011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112613936400 + 89587074721 = 335580^2 + 299311^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201011121 - 21 = 202201011119 is a prime.

Together with 202201011119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (202201011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100505560 + 101100505561.

It is an arithmetic number, because the mean of its divisors is an integer number (101100505561).

Almost surely, 2202201011121 is an apocalyptic number.

It is an amenable number.

202201011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201011121 is an equidigital number, since it uses as much as digits as its factorization.

202201011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202201011121 its reverse (121110102202), we get a palindrome (323311113323).

The spelling of 202201011121 in words is "two hundred two billion, two hundred one million, eleven thousand, one hundred twenty-one".