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101222022029 is a prime number
BaseRepresentation
bin101111001000101001…
…1010111101110001101
3100200021100002111022212
41132101103113232031
53124300314201104
6114300055120205
710212242663642
oct1362123275615
9320240074285
10101222022029
1139a23213367
121774b073065
139711a447bb
144c83483dc9
15297667536e
hex17914d7b8d

101222022029 has 2 divisors, whose sum is σ = 101222022030. Its totient is φ = 101222022028.

The previous prime is 101222021983. The next prime is 101222022073. The reversal of 101222022029 is 920220222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99746693929 + 1475328100 = 315827^2 + 38410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101222022029 is a prime.

It is a super-2 number, since 2×1012220220292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101222021995 and 101222022013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222022079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611011014 + 50611011015.

It is an arithmetic number, because the mean of its divisors is an integer number (50611011015).

Almost surely, 2101222022029 is an apocalyptic number.

It is an amenable number.

101222022029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222022029 is an equidigital number, since it uses as much as digits as its factorization.

101222022029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 101222022029 in words is "one hundred one billion, two hundred twenty-two million, twenty-two thousand, twenty-nine".