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1022120013001 is a prime number
BaseRepresentation
bin11101101111110110001…
…10011010110011001001
310121201021022010111211211
432313323012122303021
5113221300210404001
62101315551053121
7133563041521603
oct16677306326311
93551238114754
101022120013001
1136452a11207a
12146115b111a1
1375501c4a629
1437684108173
151b8c369e351
hexedfb19acc9

1022120013001 has 2 divisors, whose sum is σ = 1022120013002. Its totient is φ = 1022120013000.

The previous prime is 1022120012971. The next prime is 1022120013043. The reversal of 1022120013001 is 1003100212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1021757072400 + 362940601 = 1010820^2 + 19051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022120013001 - 219 = 1022119488713 is a prime.

It is a super-3 number, since 3×10221200130013 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1022120013091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511060006500 + 511060006501.

It is an arithmetic number, because the mean of its divisors is an integer number (511060006501).

Almost surely, 21022120013001 is an apocalyptic number.

It is an amenable number.

1022120013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022120013001 is an equidigital number, since it uses as much as digits as its factorization.

1022120013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1022120013001 its reverse (1003100212201), we get a palindrome (2025220225202).

The spelling of 1022120013001 in words is "one trillion, twenty-two billion, one hundred twenty million, thirteen thousand, one".