121120200010110 has 256 divisors, whose sum is σ = 341855006515200. Its totient is φ = 26890558648320.

The previous prime is 121120200010093. The next prime is 121120200010133. The reversal of 121120200010110 is 11010002021121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1736779162 + ... + 1736848898.

It is an arithmetic number, because the mean of its divisors is an integer number (1335371119200).

Almost surely, 2^{121120200010110} is an apocalyptic number.

121120200010110 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 121120200010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170927503257600).

121120200010110 is an abundant number, since it is smaller than the sum of its proper divisors (220734806505090).

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

121120200010110 is a wasteful number, since it uses less digits than its factorization.

121120200010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71131.

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

Adding to 121120200010110 its reverse (11010002021121), we get a palindrome (132130202031231).

The spelling of 121120200010110 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred million, ten thousand, one hundred ten".