2010002110110 has 192 divisors, whose sum is σ = 5540633280000. Its totient is φ = 504661893120.

The previous prime is 2010002110037. The next prime is 2010002110187. The reversal of 2010002110110 is 110112000102.

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 = 2010002110092 and 2010002110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433281171 + ... + 433285809.

It is an arithmetic number, because the mean of its divisors is an integer number (28857465000).

Almost surely, 2^{2010002110110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010002110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770316640000).

2010002110110 is an abundant number, since it is smaller than the sum of its proper divisors (3530631169890).

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

2010002110110 is a wasteful number, since it uses less digits than its factorization.

2010002110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8768 counting only the distinct ones).

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

Adding to 2010002110110 its reverse (110112000102), we get a palindrome (2120114110212).

The spelling of 2010002110110 in words is "two trillion, ten billion, two million, one hundred ten thousand, one hundred ten".