2002112121211 has 16 divisors (see below), whose sum is σ = 2110775080960. Its totient is φ = 1893779015040.

The previous prime is 2002112121181. The next prime is 2002112121221. The reversal of 2002112121211 is 1121212112002.

It is a cyclic number.

It is not a de Polignac number, because 2002112121211 - 2⁷ = 2002112121083 is a prime.

It is a super-2 number, since 2×2002112121211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002112121221) 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, 104098966 + ... + 104118196.

It is an arithmetic number, because the mean of its divisors is an integer number (131923442560).

Almost surely, 2^{2002112121211} is an apocalyptic number.

2002112121211 is a deficient number, since it is larger than the sum of its proper divisors (108662959749).

2002112121211 is a wasteful number, since it uses less digits than its factorization.

2002112121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27514.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2002112121211 its reverse (1121212112002), we get a palindrome (3123324233213).

It can be divided in two parts, 2002 and 112121211, that multiplied together give a palindrome (224466664422).

The spelling of 2002112121211 in words is "two trillion, two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred eleven".