12101121010110 has 128 divisors (see below), whose sum is σ = 31786764691968. Its totient is φ = 2924006976000.

The previous prime is 12101121010103. The next prime is 12101121010127. The reversal of 12101121010110 is 1101012110121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124503652 + ... + 124600808.

It is an arithmetic number, because the mean of its divisors is an integer number (248334099156).

Almost surely, 2^{12101121010110} is an apocalyptic number.

12101121010110 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 12101121010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15893382345984).

12101121010110 is an abundant number, since it is smaller than the sum of its proper divisors (19685643681858).

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

12101121010110 is a wasteful number, since it uses less digits than its factorization.

12101121010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98410.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12101121010110 its reverse (1101012110121), we get a palindrome (13202133120231).

It can be divided in two parts, 1210112 and 1010110, that added together give a palindrome (2220222).

The spelling of 12101121010110 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, ten thousand, one hundred ten".