2101022110110 has 512 divisors, whose sum is σ = 6538110566400. Its totient is φ = 419489280000.

The previous prime is 2101022110097. The next prime is 2101022110123. The reversal of 2101022110110 is 110112201012.

It is an interprime number because it is at equal distance from previous prime (2101022110097) and next prime (2101022110123).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2286204231 + ... + 2286205149.

It is an arithmetic number, because the mean of its divisors is an integer number (12769747200).

Almost surely, 2^{2101022110110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101022110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269055283200).

2101022110110 is an abundant number, since it is smaller than the sum of its proper divisors (4437088456290).

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

2101022110110 is a wasteful number, since it uses less digits than its factorization.

2101022110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328.

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

Adding to 2101022110110 its reverse (110112201012), we get a palindrome (2211134311122).

The spelling of 2101022110110 in words is "two trillion, one hundred one billion, twenty-two million, one hundred ten thousand, one hundred ten".