10221010102001 has 4 divisors (see below), whose sum is σ = 10822245990372. Its totient is φ = 9619774213632.

The previous prime is 10221010101977. The next prime is 10221010102013. The reversal of 10221010102001 is 10020101012201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8795376490000 + 1425633612001 = 2965700^2 + 1193999^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221010102001 - 2¹⁸ = 10221009839857 is a prime.

It is a super-3 number, since 3×10221010102001³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221010102091) 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 3 ways as a sum of consecutive naturals, for example, 300617944160 + ... + 300617944193.

It is an arithmetic number, because the mean of its divisors is an integer number (2705561497593).

Almost surely, 2^{10221010102001} is an apocalyptic number.

It is an amenable number.

10221010102001 is a deficient number, since it is larger than the sum of its proper divisors (601235888371).

10221010102001 is an equidigital number, since it uses as much as digits as its factorization.

10221010102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601235888370.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221010102001 its reverse (10020101012201), we get a palindrome (20241111114202).

The spelling of 10221010102001 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred two thousand, one".