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100120223201 is a prime number
BaseRepresentation
bin101110100111110100…
…0010101110111100001
3100120102112212022110212
41131033220111313201
53120021234120301
6113554455503505
710143033566315
oct1351750256741
9316375768425
10100120223201
113950828a619
12174a2087b95
1395976b412b
144bbadd7b45
15290ea864bb
hex174fa15de1

100120223201 has 2 divisors, whose sum is σ = 100120223202. Its totient is φ = 100120223200.

The previous prime is 100120223171. The next prime is 100120223207. The reversal of 100120223201 is 102322021001.

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., 55293171025 + 44827052176 = 235145^2 + 211724^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120223201 - 222 = 100116028897 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120223207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060111600 + 50060111601.

It is an arithmetic number, because the mean of its divisors is an integer number (50060111601).

Almost surely, 2100120223201 is an apocalyptic number.

It is an amenable number.

100120223201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120223201 is an equidigital number, since it uses as much as digits as its factorization.

100120223201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100120223201 its reverse (102322021001), we get a palindrome (202442244202).

The spelling of 100120223201 in words is "one hundred billion, one hundred twenty million, two hundred twenty-three thousand, two hundred one".