2111100010361 has 2 divisors, whose sum is σ = 2111100010362. Its totient is φ = 2111100010360.

The previous prime is 2111100010301. The next prime is 2111100010363. The reversal of 2111100010361 is 1630100011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2109015540025 + 2084470336 = 1452245^2 + 45656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111100010361 is a prime.

Together with 2111100010363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2111100010363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055550005180 + 1055550005181.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550005181).

Almost surely, 2^{2111100010361} is an apocalyptic number.

It is an amenable number.

2111100010361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111100010361 is an equidigital number, since it uses as much as digits as its factorization.

2111100010361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 2111100010361 its reverse (1630100011112), we get a palindrome (3741200021473).

The spelling of 2111100010361 in words is "two trillion, one hundred eleven billion, one hundred million, ten thousand, three hundred sixty-one".