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1012022200901 is a prime number
BaseRepresentation
bin11101011101000010011…
…10010100101001000101
310120202012120022111202002
432232201032110221011
5113040110140412101
62052525551555045
7133054565526305
oct16564116245105
93522176274662
101012022200901
11360218170418
1214417822ba85
1374582c0449a
1436da6da3605
151b4d1e1ed6b
hexeba1394a45

1012022200901 has 2 divisors, whose sum is σ = 1012022200902. Its totient is φ = 1012022200900.

The previous prime is 1012022200853. The next prime is 1012022200907. The reversal of 1012022200901 is 1090022202101.

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., 997411677025 + 14610523876 = 998705^2 + 120874^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012022200901 - 230 = 1010948459077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012022200907) 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, 506011100450 + 506011100451.

It is an arithmetic number, because the mean of its divisors is an integer number (506011100451).

Almost surely, 21012022200901 is an apocalyptic number.

It is an amenable number.

1012022200901 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012022200901 is an equidigital number, since it uses as much as digits as its factorization.

1012022200901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1012022200901 in words is "one trillion, twelve billion, twenty-two million, two hundred thousand, nine hundred one".