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1001022110993 is a prime number
BaseRepresentation
bin11101001000100011001…
…00010011110100010001
310112200210221201001011202
432210101210103310101
5112400043130022433
62043510241520545
7132215155360322
oct16442144236421
93480727631152
101001022110993
11356592981023
12142008343155
137351bc77c48
14366420ac449
151b08b363ee8
hexe911913d11

1001022110993 has 2 divisors, whose sum is σ = 1001022110994. Its totient is φ = 1001022110992.

The previous prime is 1001022110987. The next prime is 1001022111029. The reversal of 1001022110993 is 3990112201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 690308399104 + 310713711889 = 830848^2 + 557417^2 .

It is an emirp because it is prime and its reverse (3990112201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001022110993 - 26 = 1001022110929 is a prime.

It is a super-2 number, since 2×10010221109932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001022110923) 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, 500511055496 + 500511055497.

It is an arithmetic number, because the mean of its divisors is an integer number (500511055497).

Almost surely, 21001022110993 is an apocalyptic number.

It is an amenable number.

1001022110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001022110993 is an equidigital number, since it uses as much as digits as its factorization.

1001022110993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

Adding to 1001022110993 its reverse (3990112201001), we get a palindrome (4991134311994).

The spelling of 1001022110993 in words is "one trillion, one billion, twenty-two million, one hundred ten thousand, nine hundred ninety-three".