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2131321122101 is a prime number
BaseRepresentation
bin11111000000111100101…
…000110110110100110101
321112202022102201001102002
4133000330220312310311
5234404421201401401
64311040532225045
7306661060424243
oct37007450666465
97482272631362
102131321122101
11751985234566
122a509316b185
13125ca105ac52
14752295b7793
153a691d04a6b
hex1f03ca36d35

2131321122101 has 2 divisors, whose sum is σ = 2131321122102. Its totient is φ = 2131321122100.

The previous prime is 2131321122097. The next prime is 2131321122103. The reversal of 2131321122101 is 1012211231312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1604642895025 + 526678227076 = 1266745^2 + 725726^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131321122101 - 22 = 2131321122097 is a prime.

Together with 2131321122103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131321122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065660561050 + 1065660561051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065660561051).

Almost surely, 22131321122101 is an apocalyptic number.

It is an amenable number.

2131321122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131321122101 is an equidigital number, since it uses as much as digits as its factorization.

2131321122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2131321122101 its reverse (1012211231312), we get a palindrome (3143532353413).

The spelling of 2131321122101 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred one".