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2022200101 is a prime number
BaseRepresentation
bin111100010001000…
…0101001100100101
312012221010102001001
41320202011030211
513120140400401
6532354433301
7101053263055
oct17042051445
95187112031
102022200101
1194852a959
12485292831
13262c4b00c
141527d7565
15bc7ea601
hex78885325

2022200101 has 2 divisors, whose sum is σ = 2022200102. Its totient is φ = 2022200100.

The previous prime is 2022200017. The next prime is 2022200111. The reversal of 2022200101 is 1010022202.

It is an a-pointer prime, because the next prime (2022200111) can be obtained adding 2022200101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1668722500 + 353477601 = 40850^2 + 18801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022200101 - 211 = 2022198053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2022200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011100050 + 1011100051.

It is an arithmetic number, because the mean of its divisors is an integer number (1011100051).

Almost surely, 22022200101 is an apocalyptic number.

It is an amenable number.

2022200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022200101 is an equidigital number, since it uses as much as digits as its factorization.

2022200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2022200101 is about 44968.8792499880. The cubic root of 2022200101 is about 1264.5656360974.

Adding to 2022200101 its reverse (1010022202), we get a palindrome (3032222303).

The spelling of 2022200101 in words is "two billion, twenty-two million, two hundred thousand, one hundred one".