10110200122110 has 384 divisors, whose sum is σ = 28093788721152. Its totient is φ = 2323568332800.

The previous prime is 10110200122067. The next prime is 10110200122111. The reversal of 10110200122110 is 1122100201101.

It is a super-2 number, since 2×10110200122110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110200122111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7735424077 + ... + 7735425383.

It is an arithmetic number, because the mean of its divisors is an integer number (73160908128).

Almost surely, 2^{10110200122110} is an apocalyptic number.

10110200122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110200122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046894360576).

10110200122110 is an abundant number, since it is smaller than the sum of its proper divisors (17983588599042).

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

10110200122110 is a wasteful number, since it uses less digits than its factorization.

10110200122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2709 counting only the distinct ones).

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

Adding to 10110200122110 its reverse (1122100201101), we get a palindrome (11232300323211).

The spelling of 10110200122110 in words is "ten trillion, one hundred ten billion, two hundred million, one hundred twenty-two thousand, one hundred ten".