10002210021011 has 16 divisors (see below), whose sum is σ = 11338837708800. Its totient is φ = 8746640467488.

The previous prime is 10002210020947. The next prime is 10002210021017. The reversal of 10002210021011 is 11012001220001.

It is a cyclic number.

It is not a de Polignac number, because 10002210021011 - 2⁶ = 10002210020947 is a prime.

It is a super-2 number, since 2×10002210021011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002210020983 and 10002210021001.

It is not an unprimeable number, because it can be changed into a prime (10002210021017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9172910 + ... + 10205228.

It is an arithmetic number, because the mean of its divisors is an integer number (708677356800).

Almost surely, 2^{10002210021011} is an apocalyptic number.

10002210021011 is a deficient number, since it is larger than the sum of its proper divisors (1336627687789).

10002210021011 is a wasteful number, since it uses less digits than its factorization.

10002210021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071578.

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

Adding to 10002210021011 its reverse (11012001220001), we get a palindrome (21014211241012).

The spelling of 10002210021011 in words is "ten trillion, two billion, two hundred ten million, twenty-one thousand, eleven".