2002102122111 has 96 divisors (see below), whose sum is σ = 3362051685888. Its totient is φ = 1037513318400.

The previous prime is 2002102122089. The next prime is 2002102122149. The reversal of 2002102122111 is 1112212012002.

It is not a de Polignac number, because 2002102122111 - 2⁶ = 2002102122047 is a prime.

It is a super-2 number, since 2×2002102122111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002102122161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47141436 + ... + 47183886.

It is an arithmetic number, because the mean of its divisors is an integer number (35021371728).

Almost surely, 2^{2002102122111} is an apocalyptic number.

2002102122111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002102122111 is a deficient number, since it is larger than the sum of its proper divisors (1359949563777).

2002102122111 is a wasteful number, since it uses less digits than its factorization.

2002102122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42721 (or 42708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002102122111 its reverse (1112212012002), we get a palindrome (3114314134113).

The spelling of 2002102122111 in words is "two trillion, two billion, one hundred two million, one hundred twenty-two thousand, one hundred eleven".