21201022011101 has 2 divisors, whose sum is σ = 21201022011102. Its totient is φ = 21201022011100.

The previous prime is 21201022011073. The next prime is 21201022011199. The reversal of 21201022011101 is 10111022010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21045147075001 + 155874936100 = 4587499^2 + 394810^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201022011101 - 2¹⁸ = 21201021748957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21201022011401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600511005550 + 10600511005551.

It is an arithmetic number, because the mean of its divisors is an integer number (10600511005551).

Almost surely, 2^{21201022011101} is an apocalyptic number.

It is an amenable number.

21201022011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201022011101 is an equidigital number, since it uses as much as digits as its factorization.

21201022011101 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 21201022011101 its reverse (10111022010212), we get a palindrome (31312044021313).

The spelling of 21201022011101 in words is "twenty-one trillion, two hundred one billion, twenty-two million, eleven thousand, one hundred one".