2220461135401 has 2 divisors, whose sum is σ = 2220461135402. Its totient is φ = 2220461135400.

The previous prime is 2220461135377. The next prime is 2220461135407. The reversal of 2220461135401 is 1045311640222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1507306220176 + 713154915225 = 1227724^2 + 844485^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220461135401 - 2²³ = 2220452746793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220461135407) 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, 1110230567700 + 1110230567701.

It is an arithmetic number, because the mean of its divisors is an integer number (1110230567701).

Almost surely, 2^{2220461135401} is an apocalyptic number.

It is an amenable number.

2220461135401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220461135401 is an equidigital number, since it uses as much as digits as its factorization.

2220461135401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 2220461135401 its reverse (1045311640222), we get a palindrome (3265772775623).

The spelling of 2220461135401 in words is "two trillion, two hundred twenty billion, four hundred sixty-one million, one hundred thirty-five thousand, four hundred one".