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1012222111001 is a prime number
BaseRepresentation
bin11101011101011010010…
…00111010110100011001
310120202201111110222211212
432232231020322310121
5113041012330023001
62053001452432505
7133062543660503
oct16565510726431
93522644428755
101012222111001
1136030aaa1882
12144213178735
13745b545989a
1436dc5760d73
151b4e475c7bb
hexebad23ad19

1012222111001 has 2 divisors, whose sum is σ = 1012222111002. Its totient is φ = 1012222111000.

The previous prime is 1012222110961. The next prime is 1012222111037. The reversal of 1012222111001 is 1001112222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 620282256400 + 391939854601 = 787580^2 + 626051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012222111001 - 26 = 1012222110937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012222101001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506111055500 + 506111055501.

It is an arithmetic number, because the mean of its divisors is an integer number (506111055501).

Almost surely, 21012222111001 is an apocalyptic number.

It is an amenable number.

1012222111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012222111001 is an equidigital number, since it uses as much as digits as its factorization.

1012222111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012222111001 its reverse (1001112222101), we get a palindrome (2013334333102).

The spelling of 1012222111001 in words is "one trillion, twelve billion, two hundred twenty-two million, one hundred eleven thousand, one".