2110100222010 has 192 divisors, whose sum is σ = 5726415211776. Its totient is φ = 496887874560.

The previous prime is 2110100221991. The next prime is 2110100222077. The reversal of 2110100222010 is 102220010112.

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, 82856539 + ... + 82882001.

It is an arithmetic number, because the mean of its divisors is an integer number (29825079228).

Almost surely, 2^{2110100222010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110100222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863207605888).

2110100222010 is an abundant number, since it is smaller than the sum of its proper divisors (3616314989766).

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

2110100222010 is a wasteful number, since it uses less digits than its factorization.

2110100222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26149 (or 26138 counting only the distinct ones).

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

Adding to 2110100222010 its reverse (102220010112), we get a palindrome (2212320232122).

The spelling of 2110100222010 in words is "two trillion, one hundred ten billion, one hundred million, two hundred twenty-two thousand, ten".