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10101222101 is a prime number
BaseRepresentation
bin10010110100001010…
…00110101011010101
3222001222020020202002
421122011012223111
5131141403101401
64350200125045
7505213654055
oct113205065325
928058206662
1010101222101
114313970743
121b5aa66785
13c4c96b2c9
146bb791565
153e1c04a6b
hex25a146ad5

10101222101 has 2 divisors, whose sum is σ = 10101222102. Its totient is φ = 10101222100.

The previous prime is 10101222077. The next prime is 10101222107. The reversal of 10101222101 is 10122210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6331384900 + 3769837201 = 79570^2 + 61399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101222101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101222107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050611050 + 5050611051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050611051).

Almost surely, 210101222101 is an apocalyptic number.

It is an amenable number.

10101222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101222101 is an equidigital number, since it uses as much as digits as its factorization.

10101222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101222101 its reverse (10122210101), we get a palindrome (20223432202).

The spelling of 10101222101 in words is "ten billion, one hundred one million, two hundred twenty-two thousand, one hundred one".