2002100101120 has 224 divisors, whose sum is σ = 5524152576768. Its totient is φ = 682307616768.

The previous prime is 2002100101097. The next prime is 2002100101151. The reversal of 2002100101120 is 211010012002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002100101097 and 2002100101106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47861334 + ... + 47903146.

It is an arithmetic number, because the mean of its divisors is an integer number (24661395432).

Almost surely, 2^{2002100101120} is an apocalyptic number.

2002100101120 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 2002100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762076288384).

2002100101120 is an abundant number, since it is smaller than the sum of its proper divisors (3522052475648).

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

2002100101120 is an equidigital number, since it uses as much as digits as its factorization.

2002100101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42018 (or 41994 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2002100101120 its reverse (211010012002), we get a palindrome (2213110113122).

The spelling of 2002100101120 in words is "two trillion, two billion, one hundred million, one hundred one thousand, one hundred twenty".