2111112013201 has 2 divisors, whose sum is σ = 2111112013202. Its totient is φ = 2111112013200.

The previous prime is 2111112013193. The next prime is 2111112013247. The reversal of 2111112013201 is 1023102111112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1759283904400 + 351828108801 = 1326380^2 + 593151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111112013201 - 2³ = 2111112013193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111112013301) 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, 1055556006600 + 1055556006601.

It is an arithmetic number, because the mean of its divisors is an integer number (1055556006601).

Almost surely, 2^{2111112013201} is an apocalyptic number.

It is an amenable number.

2111112013201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111112013201 is an equidigital number, since it uses as much as digits as its factorization.

2111112013201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2111112013201 its reverse (1023102111112), we get a palindrome (3134214124313).

The spelling of 2111112013201 in words is "two trillion, one hundred eleven billion, one hundred twelve million, thirteen thousand, two hundred one".