10121122110 has 128 divisors (see below), whose sum is σ = 27448823808. Its totient is φ = 2366208000.

The previous prime is 10121122093. The next prime is 10121122129. The reversal of 10121122110 is 1122112101.

It is a super-2 number, since 2×10121122110² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3241350 + ... + 3244470.

It is an arithmetic number, because the mean of its divisors is an integer number (214443936).

Almost surely, 2^10121122110 is an apocalyptic number.

10121122110 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 10121122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724411904).

10121122110 is an abundant number, since it is smaller than the sum of its proper divisors (17327701698).

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

10121122110 is a wasteful number, since it uses less digits than its factorization.

10121122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490.

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

Adding to 10121122110 its reverse (1122112101), we get a palindrome (11243234211).

It can be divided in two parts, 101211 and 22110, that added together give a palindrome (123321).

The spelling of 10121122110 in words is "ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".