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10122002201 is a prime number
BaseRepresentation
bin10010110110101000…
…10111111100011001
3222010102022222200102
421123110113330121
5131212213032301
64352221345145
7505555412333
oct113324277431
928112288612
1010122002201
114324674083
121b65a081b5
13c5406581c
146c0440453
153e395bb6b
hex25b517f19

10122002201 has 2 divisors, whose sum is σ = 10122002202. Its totient is φ = 10122002200.

The previous prime is 10122002197. The next prime is 10122002227. The reversal of 10122002201 is 10220022101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5120118025 + 5001884176 = 71555^2 + 70724^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122002201 - 22 = 10122002197 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061001100 + 5061001101.

It is an arithmetic number, because the mean of its divisors is an integer number (5061001101).

Almost surely, 210122002201 is an apocalyptic number.

It is an amenable number.

10122002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122002201 is an equidigital number, since it uses as much as digits as its factorization.

10122002201 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 11.

Adding to 10122002201 its reverse (10220022101), we get a palindrome (20342024302).

The spelling of 10122002201 in words is "ten billion, one hundred twenty-two million, two thousand, two hundred one".