10002211101011 has 8 divisors (see below), whose sum is σ = 10590622408800. Its totient is φ = 9413804898688.

The previous prime is 10002211100929. The next prime is 10002211101013. The reversal of 10002211101011 is 11010111220001.

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 10002211101011 - 2¹⁰ = 10002211099987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002211100983 and 10002211101001.

It is not an unprimeable number, because it can be changed into a prime (10002211101013) 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, 3207125 + ... + 5503641.

It is an arithmetic number, because the mean of its divisors is an integer number (1323827801100).

Almost surely, 2^{10002211101011} is an apocalyptic number.

10002211101011 is a deficient number, since it is larger than the sum of its proper divisors (588411307789).

10002211101011 is a wasteful number, since it uses less digits than its factorization.

10002211101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552733.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10002211101011 its reverse (11010111220001), we get a palindrome (21012322321012).

The spelling of 10002211101011 in words is "ten trillion, two billion, two hundred eleven million, one hundred one thousand, eleven".