2002111101120 has 448 divisors, whose sum is σ = 7210946695680. Its totient is φ = 466567299072.

The previous prime is 2002111101073. The next prime is 2002111101127. The reversal of 2002111101120 is 211011112002.

It is a super-2 number, since 2×2002111101120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002111101096 and 2002111101105.

It is not an unprimeable number, because it can be changed into a prime (2002111101127) 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, 652789827 + ... + 652792893.

It is an arithmetic number, because the mean of its divisors is an integer number (16095863160).

Almost surely, 2^{2002111101120} is an apocalyptic number.

2002111101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002111101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605473347840).

2002111101120 is an abundant number, since it is smaller than the sum of its proper divisors (5208835594560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002111101120 is a wasteful number, since it uses less digits than its factorization.

2002111101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2002111101120 its reverse (211011112002), we get a palindrome (2213122213122).

The spelling of 2002111101120 in words is "two trillion, two billion, one hundred eleven million, one hundred one thousand, one hundred twenty".