2011122111002 has 16 divisors (see below), whose sum is σ = 3185666452800. Its totient is φ = 949573643040.

The previous prime is 2011122110981. The next prime is 2011122111023. The reversal of 2011122111002 is 2001112211102.

It is an interprime number because it is at equal distance from previous prime (2011122110981) and next prime (2011122111023).

It is a super-2 number, since 2×2011122111002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85075427 + ... + 85099062.

It is an arithmetic number, because the mean of its divisors is an integer number (199104153300).

Almost surely, 2^{2011122111002} is an apocalyptic number.

2011122111002 is a deficient number, since it is larger than the sum of its proper divisors (1174544341798).

2011122111002 is a wasteful number, since it uses less digits than its factorization.

2011122111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170174821.

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

Adding to 2011122111002 its reverse (2001112211102), we get a palindrome (4012234322104).

It can be divided in two parts, 201112211100 and 2, that added together give a palindrome (201112211102).

The spelling of 2011122111002 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, two".