2220133440101 has 2 divisors, whose sum is σ = 2220133440102. Its totient is φ = 2220133440100.

The previous prime is 2220133440071. The next prime is 2220133440131. The reversal of 2220133440101 is 1010443310222.

It is a balanced prime because it is at equal distance from previous prime (2220133440071) and next prime (2220133440131).

It can be written as a sum of positive squares in only one way, i.e., 1184723402500 + 1035410037601 = 1088450^2 + 1017551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220133440101 - 2¹⁰ = 2220133439077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220133440131) 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, 1110066720050 + 1110066720051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110066720051).

Almost surely, 2^{2220133440101} is an apocalyptic number.

It is an amenable number.

2220133440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220133440101 is an equidigital number, since it uses as much as digits as its factorization.

2220133440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2220133440101 its reverse (1010443310222), we get a palindrome (3230576750323).

The spelling of 2220133440101 in words is "two trillion, two hundred twenty billion, one hundred thirty-three million, four hundred forty thousand, one hundred one".