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21122110120211 is a prime number
BaseRepresentation
bin1001100110101110111111…
…10111101110000100010011
32202210020212011121202101122
410303113133313232010103
510232031040142321321
6112531210300152455
74310010402460202
oct463273767560423
982706764552348
1021122110120211
116803922568651
122451733b3872b
13ba2a63988c79
1453045bd6d239
1526967b9688ab
hex1335dfdee113

21122110120211 has 2 divisors, whose sum is σ = 21122110120212. Its totient is φ = 21122110120210.

The previous prime is 21122110120187. The next prime is 21122110120259. The reversal of 21122110120211 is 11202101122112.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21122110120211 is a prime.

It is a super-2 number, since 2×211221101202112 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122110120211.

It is not a weakly prime, because it can be changed into another prime (21122110120291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561055060105 + 10561055060106.

It is an arithmetic number, because the mean of its divisors is an integer number (10561055060106).

Almost surely, 221122110120211 is an apocalyptic number.

21122110120211 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122110120211 is an equidigital number, since it uses as much as digits as its factorization.

21122110120211 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 17.

Adding to 21122110120211 its reverse (11202101122112), we get a palindrome (32324211242323).

The spelling of 21122110120211 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, two hundred eleven".