10001002122211 has 8 divisors (see below), whose sum is σ = 10589514197040. Its totient is φ = 9412514251008.

The previous prime is 10001002122179. The next prime is 10001002122217. The reversal of 10001002122211 is 11222120010001.

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 10001002122211 - 2⁵ = 10001002122179 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001002122191 and 10001002122200.

It is not an unprimeable number, because it can be changed into a prime (10001002122217) 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, 5196741 + ... + 6856246.

It is an arithmetic number, because the mean of its divisors is an integer number (1323689274630).

Almost surely, 2^{10001002122211} is an apocalyptic number.

10001002122211 is a deficient number, since it is larger than the sum of its proper divisors (588512074829).

10001002122211 is a wasteful number, since it uses less digits than its factorization.

10001002122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12101813.

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

Adding to 10001002122211 its reverse (11222120010001), we get a palindrome (21223122132212).

The spelling of 10001002122211 in words is "ten trillion, one billion, two million, one hundred twenty-two thousand, two hundred eleven".