2002211100120 has 256 divisors, whose sum is σ = 7662948986880. Its totient is φ = 406368345600.

The previous prime is 2002211100119. The next prime is 2002211100161. The reversal of 2002211100120 is 210011122002.

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 = 2002211100096 and 2002211100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2122326 + ... + 2916965.

It is an arithmetic number, because the mean of its divisors is an integer number (29933394480).

Almost surely, 2^{2002211100120} is an apocalyptic number.

2002211100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002211100120 is an abundant number, since it is smaller than the sum of its proper divisors (5660737886760).

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

2002211100120 is a wasteful number, since it uses less digits than its factorization.

2002211100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039366 (or 5039362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002211100120 its reverse (210011122002), we get a palindrome (2212222222122).

The spelling of 2002211100120 in words is "two trillion, two billion, two hundred eleven million, one hundred thousand, one hundred twenty".