121010110010112 has 216 divisors, whose sum is σ = 324667171745280. Its totient is φ = 40013173217280.

The previous prime is 121010110010099. The next prime is 121010110010131. The reversal of 121010110010112 is 211010011010121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23133262537 + ... + 23133267767.

It is an arithmetic number, because the mean of its divisors is an integer number (1503088758080).

Almost surely, 2^{121010110010112} is an apocalyptic number.

121010110010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121010110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162333585872640).

121010110010112 is an abundant number, since it is smaller than the sum of its proper divisors (203657061735168).

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

121010110010112 is an equidigital number, since it uses as much as digits as its factorization.

121010110010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 6934 counting only the distinct ones).

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

Adding to 121010110010112 its reverse (211010011010121), we get a palindrome (332020121020233).

The spelling of 121010110010112 in words is "one hundred twenty-one trillion, ten billion, one hundred ten million, ten thousand, one hundred twelve".