210000001221001 has 16 divisors (see below), whose sum is σ = 214527659346000. Its totient is φ = 205535065593600.

The previous prime is 210000001220959. The next prime is 210000001221053. The reversal of 210000001221001 is 100122100000012.

It can be written as a sum of positive squares in 8 ways, for example, as 32602215727225 + 177397785493776 = 5709835^2 + 13319076^2 .

It is a cyclic number.

It is not a de Polignac number, because 210000001221001 - 2¹³ = 210000001212809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210000007221001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32779270 + ... + 38658511.

It is an arithmetic number, because the mean of its divisors is an integer number (13407978709125).

Almost surely, 2^{210000001221001} is an apocalyptic number.

It is an amenable number.

210000001221001 is a deficient number, since it is larger than the sum of its proper divisors (4527658124999).

210000001221001 is a wasteful number, since it uses less digits than its factorization.

210000001221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71438220.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210000001221001 its reverse (100122100000012), we get a palindrome (310122101221013).

The spelling of 210000001221001 in words is "two hundred ten trillion, one million, two hundred twenty-one thousand, one".