2780101 has 2 divisors, whose sum is σ = 2780102. Its totient is φ = 2780100.

The previous prime is 2780083. The next prime is 2780119. The reversal of 2780101 is 1010872.

It is a balanced prime because it is at equal distance from previous prime (2780083) and next prime (2780119).

It can be written as a sum of positive squares in only one way, i.e., 2656900 + 123201 = 1630^2 + 351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2780101 is a prime.

It is a Chen prime.

2780101 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2780131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1390050 + 1390051.

It is an arithmetic number, because the mean of its divisors is an integer number (1390051).

2^2780101 is an apocalyptic number.

It is an amenable number.

2780101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2780101 is an equidigital number, since it uses as much as digits as its factorization.

2780101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 2780101 is about 1667.3634876655. The cubic root of 2780101 is about 140.6112895934.

Adding to 2780101 its reverse (1010872), we get a palindrome (3790973).

The spelling of 2780101 in words is "two million, seven hundred eighty thousand, one hundred one".