10010021221201 has 8 divisors (see below), whose sum is σ = 10045799356104. Its totient is φ = 9974244188160.

The previous prime is 10010021221169. The next prime is 10010021221243. The reversal of 10010021221201 is 10212212001001.

It can be written as a sum of positive squares in 4 ways, for example, as 1925922226176 + 8084098995025 = 1387776^2 + 2843255^2 .

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 10010021221201 - 2⁵ = 10010021221169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010021221271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20801425 + ... + 21277201.

It is an arithmetic number, because the mean of its divisors is an integer number (1255724919513).

Almost surely, 2^{10010021221201} is an apocalyptic number.

It is an amenable number.

10010021221201 is a deficient number, since it is larger than the sum of its proper divisors (35778134903).

10010021221201 is an equidigital number, since it uses as much as digits as its factorization.

10010021221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550931.

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

Adding to 10010021221201 its reverse (10212212001001), we get a palindrome (20222233222202).

The spelling of 10010021221201 in words is "ten trillion, ten billion, twenty-one million, two hundred twenty-one thousand, two hundred one".