2001100120110 has 384 divisors, whose sum is σ = 6610169389824. Its totient is φ = 408701583360.

The previous prime is 2001100120109. The next prime is 2001100120133. The reversal of 2001100120110 is 110210011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001100120092 and 2001100120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59680150 + ... + 59713670.

It is an arithmetic number, because the mean of its divisors is an integer number (17213982786).

Almost surely, 2^{2001100120110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001100120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305084694912).

2001100120110 is an abundant number, since it is smaller than the sum of its proper divisors (4609069269714).

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

2001100120110 is a wasteful number, since it uses less digits than its factorization.

2001100120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33785 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001100120110 its reverse (110210011002), we get a palindrome (2111310131112).

The spelling of 2001100120110 in words is "two trillion, one billion, one hundred million, one hundred twenty thousand, one hundred ten".