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2101111122037 is a prime number
BaseRepresentation
bin11110100100110011111…
…110110110100001110101
321102212100001021001002211
4132210303332312201311
5233411033421401122
64245123115133421
7304541330601304
oct36446376664165
97385301231084
102101111122037
117400924a8364
1229b261a44271
13123198319c75
14739a130643b
15399c4a48877
hex1e933fb6875

2101111122037 has 2 divisors, whose sum is σ = 2101111122038. Its totient is φ = 2101111122036.

The previous prime is 2101111122029. The next prime is 2101111122107. The reversal of 2101111122037 is 7302211111012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1824644430436 + 276466691601 = 1350794^2 + 525801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101111122037 - 23 = 2101111122029 is a prime.

It is a super-2 number, since 2×21011111220372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101111121999 and 2101111122017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101111122337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050555561018 + 1050555561019.

It is an arithmetic number, because the mean of its divisors is an integer number (1050555561019).

Almost surely, 22101111122037 is an apocalyptic number.

It is an amenable number.

2101111122037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101111122037 is an equidigital number, since it uses as much as digits as its factorization.

2101111122037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 2101111122037 its reverse (7302211111012), we get a palindrome (9403322233049).

The spelling of 2101111122037 in words is "two trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, thirty-seven".