2221235142001 has 2 divisors, whose sum is σ = 2221235142002. Its totient is φ = 2221235142000.

The previous prime is 2221235141963. The next prime is 2221235142013. The reversal of 2221235142001 is 1002415321222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2109535475776 + 111699666225 = 1452424^2 + 334215^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221235142001 - 2¹³ = 2221235133809 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221235142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110617571000 + 1110617571001.

It is an arithmetic number, because the mean of its divisors is an integer number (1110617571001).

Almost surely, 2^{2221235142001} is an apocalyptic number.

It is an amenable number.

2221235142001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221235142001 is an equidigital number, since it uses as much as digits as its factorization.

2221235142001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 2221235142001 in words is "two trillion, two hundred twenty-one billion, two hundred thirty-five million, one hundred forty-two thousand, one".