21111200110009 has 2 divisors, whose sum is σ = 21111200110010. Its totient is φ = 21111200110008.

The previous prime is 21111200109953. The next prime is 21111200110057. The reversal of 21111200110009 is 90001100211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20936371594384 + 174828515625 = 4575628^2 + 418125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21111200110009 is a prime.

It is not a weakly prime, because it can be changed into another prime (21111200110109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555600055004 + 10555600055005.

It is an arithmetic number, because the mean of its divisors is an integer number (10555600055005).

Almost surely, 2^{21111200110009} is an apocalyptic number.

It is an amenable number.

21111200110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111200110009 is an equidigital number, since it uses as much as digits as its factorization.

21111200110009 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 19.

The spelling of 21111200110009 in words is "twenty-one trillion, one hundred eleven billion, two hundred million, one hundred ten thousand, nine".