10000010102221 has 8 divisors (see below), whose sum is σ = 10030373478720. Its totient is φ = 9969677664672.

The previous prime is 10000010102149. The next prime is 10000010102237. The reversal of 10000010102221 is 12220101000001.

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 10000010102221 - 2⁹ = 10000010101709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000010102198 and 10000010102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000010102281) 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, 7087240 + ... + 8380273.

It is an arithmetic number, because the mean of its divisors is an integer number (1253796684840).

Almost surely, 2^{10000010102221} is an apocalyptic number.

It is an amenable number.

10000010102221 is a deficient number, since it is larger than the sum of its proper divisors (30363376499).

10000010102221 is a wasteful number, since it uses less digits than its factorization.

10000010102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15469475.

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

Adding to 10000010102221 its reverse (12220101000001), we get a palindrome (22220111102222).

The spelling of 10000010102221 in words is "ten trillion, ten million, one hundred two thousand, two hundred twenty-one".