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10222102000133 is a prime number
BaseRepresentation
bin1001010011000000010011…
…0000100011001000000101
31100012020000212022212200022
42110300010300203020011
52314434331103001013
633423545133424525
72103344134242422
oct224600460431005
940166025285608
1010222102000133
1132911950a9031
12119114133b145
13591c2b49068a
14274a76742d49
1512ad78943008
hex94c04c23205

10222102000133 has 2 divisors, whose sum is σ = 10222102000134. Its totient is φ = 10222102000132.

The previous prime is 10222102000091. The next prime is 10222102000153. The reversal of 10222102000133 is 33100020122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9885628916164 + 336473083969 = 3144142^2 + 580063^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222102000133 - 28 = 10222101999877 is a prime.

It is a super-2 number, since 2×102221020001332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222102000153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111051000066 + 5111051000067.

It is an arithmetic number, because the mean of its divisors is an integer number (5111051000067).

Almost surely, 210222102000133 is an apocalyptic number.

It is an amenable number.

10222102000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222102000133 is an equidigital number, since it uses as much as digits as its factorization.

10222102000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10222102000133 its reverse (33100020122201), we get a palindrome (43322122122334).

The spelling of 10222102000133 in words is "ten trillion, two hundred twenty-two billion, one hundred two million, one hundred thirty-three", and thus it is an aban number.