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1111121022001 is a prime number
BaseRepresentation
bin10000001010110011111…
…110010100110000110001
310221012222221020012221111
4100022303332110300301
5121201033440201001
62210235243353321
7143163420566134
oct20126376246061
93835887205844
101111121022001
11399250939471
1215b414222841
1380a16ac6a73
143bac847c21b
151dd81e98851
hex102b3f94c31

1111121022001 has 2 divisors, whose sum is σ = 1111121022002. Its totient is φ = 1111121022000.

The previous prime is 1111121021993. The next prime is 1111121022043. The reversal of 1111121022001 is 1002201211111.

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., 1110325838400 + 795183601 = 1053720^2 + 28199^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111121022001 - 23 = 1111121021993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1111121022071) 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, 555560511000 + 555560511001.

It is an arithmetic number, because the mean of its divisors is an integer number (555560511001).

Almost surely, 21111121022001 is an apocalyptic number.

It is an amenable number.

1111121022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111121022001 is an equidigital number, since it uses as much as digits as its factorization.

1111121022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1111121022001 its reverse (1002201211111), we get a palindrome (2113322233112).

The spelling of 1111121022001 in words is "one trillion, one hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one".