21111011201041 has 2 divisors, whose sum is σ = 21111011201042. Its totient is φ = 21111011201040.

The previous prime is 21111011200997. The next prime is 21111011201113. The reversal of 21111011201041 is 14010211011112.

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., 19006147036816 + 2104864164225 = 4359604^2 + 1450815^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111011201041 - 2³³ = 21102421266449 is a prime.

It is not a weakly prime, because it can be changed into another prime (21111011241041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555505600520 + 10555505600521.

It is an arithmetic number, because the mean of its divisors is an integer number (10555505600521).

Almost surely, 2^{21111011201041} is an apocalyptic number.

It is an amenable number.

21111011201041 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111011201041 is an equidigital number, since it uses as much as digits as its factorization.

21111011201041 is an evil number, because the sum of its binary digits is even.

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

Adding to 21111011201041 its reverse (14010211011112), we get a palindrome (35121222212153).

The spelling of 21111011201041 in words is "twenty-one trillion, one hundred eleven billion, eleven million, two hundred one thousand, forty-one".