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2122102212029 is a prime number
BaseRepresentation
bin11110111000010111001…
…001100000010110111101
321111212111221200220020022
4132320113021200112331
5234232031131241104
64302514051101525
7306213446116352
oct36702711402675
97455457626208
102122102212029
11748a84414a18
122a333b8a18a5
13125162132387
14749d309a629
153a3027d5bbe
hex1ee172605bd

2122102212029 has 2 divisors, whose sum is σ = 2122102212030. Its totient is φ = 2122102212028.

The previous prime is 2122102211963. The next prime is 2122102212049. The reversal of 2122102212029 is 9202122012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1909025805625 + 213076406404 = 1381675^2 + 461602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122102212029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122102211989 and 2122102212007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122102212049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051106014 + 1061051106015.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051106015).

Almost surely, 22122102212029 is an apocalyptic number.

It is an amenable number.

2122102212029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102212029 is an equidigital number, since it uses as much as digits as its factorization.

2122102212029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2122102212029 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two hundred twelve thousand, twenty-nine".