1002112122011 has 128 divisors (see below), whose sum is σ = 1457906688000. Its totient is φ = 662672424960.

The previous prime is 1002112121999. The next prime is 1002112122019. The reversal of 1002112122011 is 1102212112001.

It is not a de Polignac number, because 1002112122011 - 2²⁶ = 1002045013147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002112122019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215552015 + ... + 215556663.

It is an arithmetic number, because the mean of its divisors is an integer number (11389896000).

Almost surely, 2^{1002112122011} is an apocalyptic number.

1002112122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002112122011 is a deficient number, since it is larger than the sum of its proper divisors (455794565989).

1002112122011 is a wasteful number, since it uses less digits than its factorization.

1002112122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989.

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

Adding to 1002112122011 its reverse (1102212112001), we get a palindrome (2104324234012).

It can be divided in two parts, 100211 and 2122011, that added together give a palindrome (2222222).

The spelling of 1002112122011 in words is "one trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, eleven".