1002211221011 has 64 divisors (see below), whose sum is σ = 1367002054656. Its totient is φ = 709440336000.

The previous prime is 1002211221007. The next prime is 1002211221013. The reversal of 1002211221011 is 1101221122001.

1002211221011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002211221011 - 2² = 1002211221007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002211221013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77187626 + ... + 77200608.

It is an arithmetic number, because the mean of its divisors is an integer number (21359407104).

Almost surely, 2^{1002211221011} is an apocalyptic number.

1002211221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002211221011 is a deficient number, since it is larger than the sum of its proper divisors (364790833645).

1002211221011 is a wasteful number, since it uses less digits than its factorization.

1002211221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14232.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1002211221011 its sum of digits (14), we get a square (1002211221025 = 1001105²).

Adding to 1002211221011 its reverse (1101221122001), we get a palindrome (2103432343012).

The spelling of 1002211221011 in words is "one trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, eleven".