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2122022101121 = 13255616385997
BaseRepresentation
bin11110111000010010010…
…111111010000010000001
321111212022100221211201122
4132320102113322002001
5234231400124213441
64302502110042025
7306211454152016
oct36702227720201
97455270854648
102122022101121
11748a4317845a
122a3318aa9315
1312514b663680
14749c65a570d
153a2ea75e34b
hex1ee125fa081

2122022101121 has 8 divisors (see below), whose sum is σ = 2285344332264. Its totient is φ = 1958712693120.

The previous prime is 2122022101097. The next prime is 2122022101189. The reversal of 2122022101121 is 1211012202212.

It can be written as a sum of positive squares in 4 ways, for example, as 547777614400 + 1574244486721 = 740120^2 + 1254689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122022101121 - 214 = 2122022084737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122022101121.

It is not an unprimeable number, because it can be changed into a prime (2122022161121) 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 in 7 ways as a sum of consecutive naturals, for example, 2860706 + ... + 3525291.

It is an arithmetic number, because the mean of its divisors is an integer number (285668041533).

Almost surely, 22122022101121 is an apocalyptic number.

It is an amenable number.

2122022101121 is a deficient number, since it is larger than the sum of its proper divisors (163322231143).

2122022101121 is a wasteful number, since it uses less digits than its factorization.

2122022101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411571.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2122022101121 its reverse (1211012202212), we get a palindrome (3333034303333).

The spelling of 2122022101121 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 13 25561 332293 6385997 83017961 163232469317 2122022101121