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2122101999937 is a prime number
BaseRepresentation
bin11110111000010111001…
…000101100100101000001
321111212111221022010022001
4132320113020230211001
5234232031102444222
64302514042344001
7306213444244123
oct36702710544501
97455457263261
102122101999937
11748a8428a637
122a333b7bb001
1312516208998a
14749d3043213
153a302792e27
hex1ee1722c941

2122101999937 has 2 divisors, whose sum is σ = 2122101999938. Its totient is φ = 2122101999936.

The previous prime is 2122101999929. The next prime is 2122101999971. The reversal of 2122101999937 is 7399991012212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1996297713216 + 125804286721 = 1412904^2 + 354689^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122101999937 - 23 = 2122101999929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122101999037) 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, 1061050999968 + 1061050999969.

It is an arithmetic number, because the mean of its divisors is an integer number (1061050999969).

Almost surely, 22122101999937 is an apocalyptic number.

It is an amenable number.

2122101999937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122101999937 is an equidigital number, since it uses as much as digits as its factorization.

2122101999937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1102248, while the sum is 55.

The spelling of 2122101999937 in words is "two trillion, one hundred twenty-two billion, one hundred one million, nine hundred ninety-nine thousand, nine hundred thirty-seven".