2787136461101 has 2 divisors, whose sum is σ = 2787136461102. Its totient is φ = 2787136461100.

The previous prime is 2787136461073. The next prime is 2787136461107. The reversal of 2787136461101 is 1011646317872.

2787136461101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1966798685476 + 820337775625 = 1402426^2 + 905725^2 .

It is a cyclic number.

It is not a de Polignac number, because 2787136461101 - 2⁶ = 2787136461037 is a prime.

It is a super-2 number, since 2×2787136461101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2787136461107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1393568230550 + 1393568230551.

It is an arithmetic number, because the mean of its divisors is an integer number (1393568230551).

Almost surely, 2^{2787136461101} is an apocalyptic number.

It is an amenable number.

2787136461101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2787136461101 is an equidigital number, since it uses as much as digits as its factorization.

2787136461101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 2787136461101 in words is "two trillion, seven hundred eighty-seven billion, one hundred thirty-six million, four hundred sixty-one thousand, one hundred one".