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101222014001 is a prime number
BaseRepresentation
bin101111001000101001…
…1010101110000110001
3100200021100002002022112
41132101103111300301
53124300313422001
6114300055015105
710212242631353
oct1362123256061
9320240062275
10101222014001
1139a23208329
121774b06a495
139711a40c54
144c834810d3
152976672cbb
hex17914d5c31

101222014001 has 2 divisors, whose sum is σ = 101222014002. Its totient is φ = 101222014000.

The previous prime is 101222013979. The next prime is 101222014007. The reversal of 101222014001 is 100410222101.

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., 100838637601 + 383376400 = 317551^2 + 19580^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222014001 - 210 = 101222012977 is a prime.

It is a super-2 number, since 2×1012220140012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101222014007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611007000 + 50611007001.

It is an arithmetic number, because the mean of its divisors is an integer number (50611007001).

Almost surely, 2101222014001 is an apocalyptic number.

It is an amenable number.

101222014001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222014001 is an equidigital number, since it uses as much as digits as its factorization.

101222014001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101222014001 its reverse (100410222101), we get a palindrome (201632236102).

The spelling of 101222014001 in words is "one hundred one billion, two hundred twenty-two million, fourteen thousand, one".