21100201122001 has 2 divisors, whose sum is σ = 21100201122002. Its totient is φ = 21100201122000.

The previous prime is 21100201121999. The next prime is 21100201122103. The reversal of 21100201122001 is 10022110200112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17432286689601 + 3667914432400 = 4175199^2 + 1915180^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100201122001 - 2¹ = 21100201121999 is a prime.

Together with 21100201121999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21100201125001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550100561000 + 10550100561001.

It is an arithmetic number, because the mean of its divisors is an integer number (10550100561001).

Almost surely, 2^{21100201122001} is an apocalyptic number.

It is an amenable number.

21100201122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100201122001 is an equidigital number, since it uses as much as digits as its factorization.

21100201122001 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 13.

Adding to 21100201122001 its reverse (10022110200112), we get a palindrome (31122311322113).

The spelling of 21100201122001 in words is "twenty-one trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, one".