10211011001221 has 8 divisors (see below), whose sum is σ = 10236219262040. Its totient is φ = 10185803923968.

The previous prime is 10211011001089. The next prime is 10211011001267. The reversal of 10211011001221 is 12210011011201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 969015796996 + 9241995204225 = 984386^2 + 3040065^2 .

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 10211011001221 - 2¹⁷ = 10211010870149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011041221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18441805 + ... + 18987421.

It is an arithmetic number, because the mean of its divisors is an integer number (1279527407755).

Almost surely, 2^{10211011001221} is an apocalyptic number.

It is an amenable number.

10211011001221 is a deficient number, since it is larger than the sum of its proper divisors (25208260819).

10211011001221 is an equidigital number, since it uses as much as digits as its factorization.

10211011001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591783.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211011001221 its reverse (12210011011201), we get a palindrome (22421022012422).

The spelling of 10211011001221 in words is "ten trillion, two hundred eleven billion, eleven million, one thousand, two hundred twenty-one".