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202131122101 is a prime number
BaseRepresentation
bin1011110000111111110…
…1000010011110110101
3201022201212100220102121
42330033331002132311
511302431031401401
6232505135235541
720413666121656
oct2741775023665
9638655326377
10202131122101
11787a5826837
1233211378bb1
13160a39b597c
149ad714d52d
1553d05d7ca1
hex2f0ff427b5

202131122101 has 2 divisors, whose sum is σ = 202131122102. Its totient is φ = 202131122100.

The previous prime is 202131122057. The next prime is 202131122251. The reversal of 202131122101 is 101221131202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198082854225 + 4048267876 = 445065^2 + 63626^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131122101 - 211 = 202131120053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065561050 + 101065561051.

It is an arithmetic number, because the mean of its divisors is an integer number (101065561051).

Almost surely, 2202131122101 is an apocalyptic number.

It is an amenable number.

202131122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131122101 is an equidigital number, since it uses as much as digits as its factorization.

202131122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 202131122101 its reverse (101221131202), we get a palindrome (303352253303).

The spelling of 202131122101 in words is "two hundred two billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred one".