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1022221000001 is a prime number
BaseRepresentation
bin11101110000000010001…
…11101001110101000001
310121201112100011011222002
432320001013221311001
5113222002034000001
62101333555353345
7133565406064415
oct16700107516501
93551470134862
101022221000001
11364581118103
121461438b2855
1375519b48456
14376936b4d45
151b8cc49b46b
hexee011e9d41

1022221000001 has 2 divisors, whose sum is σ = 1022221000002. Its totient is φ = 1022221000000.

The previous prime is 1022220999973. The next prime is 1022221000007. The reversal of 1022221000001 is 1000001222201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016144641600 + 6076358401 = 1008040^2 + 77951^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022221000001 - 210 = 1022220998977 is a prime.

It is a super-5 number, since 5×10222210000015 (a number of 61 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (1022221000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511110500000 + 511110500001.

It is an arithmetic number, because the mean of its divisors is an integer number (511110500001).

Almost surely, 21022221000001 is an apocalyptic number.

It is an amenable number.

1022221000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022221000001 is an equidigital number, since it uses as much as digits as its factorization.

1022221000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022221000001 its reverse (1000001222201), we get a palindrome (2022222222202).

The spelling of 1022221000001 in words is "one trillion, twenty-two billion, two hundred twenty-one million, one", and thus it is an aban number.