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10122100201 is a prime number
BaseRepresentation
bin10010110110101001…
…01111110111101001
3222010102111222010001
421123110233313221
5131212224201301
64352223423001
7505556301133
oct113324576751
928112458101
1010122100201
114324730774
121b65a54a61
13c5409b305
146c0468053
153e397ac01
hex25b52fde9

10122100201 has 2 divisors, whose sum is σ = 10122100202. Its totient is φ = 10122100200.

The previous prime is 10122100193. The next prime is 10122100217. The reversal of 10122100201 is 10200122101.

10122100201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8630595801 + 1491504400 = 92901^2 + 38620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122100201 - 23 = 10122100193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122100301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061050100 + 5061050101.

It is an arithmetic number, because the mean of its divisors is an integer number (5061050101).

Almost surely, 210122100201 is an apocalyptic number.

It is an amenable number.

10122100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122100201 is an equidigital number, since it uses as much as digits as its factorization.

10122100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122100201 its reverse (10200122101), we get a palindrome (20322222302).

The spelling of 10122100201 in words is "ten billion, one hundred twenty-two million, one hundred thousand, two hundred one".