21000122101201 has 8 divisors (see below), whose sum is σ = 21395085679208. Its totient is φ = 20606793984000.

The previous prime is 21000122101199. The next prime is 21000122101229. The reversal of 21000122101201 is 10210122100012.

It can be written as a sum of positive squares in 4 ways, for example, as 13965566976 + 20986156534225 = 118176^2 + 4581065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21000122101201 - 2¹ = 21000122101199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21000122101601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408839280 + ... + 408890641.

It is an arithmetic number, because the mean of its divisors is an integer number (2674385709901).

Almost surely, 2^{21000122101201} is an apocalyptic number.

It is an amenable number.

21000122101201 is a deficient number, since it is larger than the sum of its proper divisors (394963578007).

21000122101201 is an equidigital number, since it uses as much as digits as its factorization.

21000122101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817730403.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21000122101201 its reverse (10210122100012), we get a palindrome (31210244201213).

The spelling of 21000122101201 in words is "twenty-one trillion, one hundred twenty-two million, one hundred one thousand, two hundred one".