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2121020022001 is a prime number
BaseRepresentation
bin11110110111010110101…
…001010001110011110001
321111202201112100221121011
4132313112221101303301
5234222322111201001
64302214432030521
7306144565501366
oct36672651216361
97452645327534
102121020022001
117485795645a1
122a3099392441
1312501bb7904a
147492d47646d
153a28c7bbd51
hex1edd6a51cf1

2121020022001 has 2 divisors, whose sum is σ = 2121020022002. Its totient is φ = 2121020022000.

The previous prime is 2121020021987. The next prime is 2121020022031. The reversal of 2121020022001 is 1002200201212.

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., 1538356493025 + 582663528976 = 1240305^2 + 763324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121020022001 - 25 = 2121020021969 is a prime.

It is a super-3 number, since 3×21210200220013 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2121020022031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060510011000 + 1060510011001.

It is an arithmetic number, because the mean of its divisors is an integer number (1060510011001).

Almost surely, 22121020022001 is an apocalyptic number.

It is an amenable number.

2121020022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121020022001 is an equidigital number, since it uses as much as digits as its factorization.

2121020022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2121020022001 its reverse (1002200201212), we get a palindrome (3123220223213).

The spelling of 2121020022001 in words is "two trillion, one hundred twenty-one billion, twenty million, twenty-two thousand, one".