10221002221021 has 8 divisors (see below), whose sum is σ = 10573486205400. Its totient is φ = 9868520612160.

The previous prime is 10221002220973. The next prime is 10221002221109. The reversal of 10221002221021 is 12012220012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6332198500996 + 3888803720025 = 2516386^2 + 1972005^2 .

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 10221002221021 - 2¹⁵ = 10221002188253 is a prime.

It is a super-3 number, since 3×10221002221021³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221002220986 and 10221002221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221002201021) 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, 16480411 + ... + 17089351.

It is an arithmetic number, because the mean of its divisors is an integer number (1321685775675).

Almost surely, 2^{10221002221021} is an apocalyptic number.

It is an amenable number.

10221002221021 is a deficient number, since it is larger than the sum of its proper divisors (352483984379).

10221002221021 is an equidigital number, since it uses as much as digits as its factorization.

10221002221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187759.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221002221021 its reverse (12012220012201), we get a palindrome (22233222233222).

The spelling of 10221002221021 in words is "ten trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, twenty-one".