21111120004001 has 2 divisors, whose sum is σ = 21111120004002. Its totient is φ = 21111120004000.

The previous prime is 21111120003989. The next prime is 21111120004031. The reversal of 21111120004001 is 10040002111112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18705754750225 + 2405365253776 = 4325015^2 + 1550924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21111120004001 is a prime.

It is not a weakly prime, because it can be changed into another prime (21111120004031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555560002000 + 10555560002001.

It is an arithmetic number, because the mean of its divisors is an integer number (10555560002001).

Almost surely, 2^{21111120004001} is an apocalyptic number.

It is an amenable number.

21111120004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111120004001 is an equidigital number, since it uses as much as digits as its factorization.

21111120004001 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 14.

Adding to 21111120004001 its reverse (10040002111112), we get a palindrome (31151122115113).

The spelling of 21111120004001 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty million, four thousand, one".