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1222021101001 is a prime number
BaseRepresentation
bin10001110010000110001…
…000100011010111001001
311022211020202021221120211
4101302012020203113021
5130010144400213001
62333215545121121
7154200551654461
oct21620610432711
94284222257524
101222021101001
11431290065218
12178a044891a1
138b30b91729c
1443208ddcba1
1521bc30d6351
hex11c862235c9

1222021101001 has 2 divisors, whose sum is σ = 1222021101002. Its totient is φ = 1222021101000.

The previous prime is 1222021100959. The next prime is 1222021101023. The reversal of 1222021101001 is 1001011202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1099310310400 + 122710790601 = 1048480^2 + 350301^2 .

It is a cyclic number.

It is not a de Polignac number, because 1222021101001 - 225 = 1221987546569 is a prime.

It is not a weakly prime, because it can be changed into another prime (1222021101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611010550500 + 611010550501.

It is an arithmetic number, because the mean of its divisors is an integer number (611010550501).

Almost surely, 21222021101001 is an apocalyptic number.

It is an amenable number.

1222021101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1222021101001 is an equidigital number, since it uses as much as digits as its factorization.

1222021101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1222021101001 its reverse (1001011202221), we get a palindrome (2223032303222).

The spelling of 1222021101001 in words is "one trillion, two hundred twenty-two billion, twenty-one million, one hundred one thousand, one".