10121066112 has 64 divisors (see below), whose sum is σ = 26946898560. Its totient is φ = 3365806080.

The previous prime is 10121066107. The next prime is 10121066113. The reversal of 10121066112 is 21166012101.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10121066113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134928 + ... + 196080.

It is an arithmetic number, because the mean of its divisors is an integer number (421045290).

Almost surely, 2^10121066112 is an apocalyptic number.

10121066112 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 10121066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473449280).

10121066112 is an abundant number, since it is smaller than the sum of its proper divisors (16825832448).

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

10121066112 is an equidigital number, since it uses as much as digits as its factorization.

10121066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61601 (or 61589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10121066112 its reverse (21166012101), we get a palindrome (31287078213).

The spelling of 10121066112 in words is "ten billion, one hundred twenty-one million, sixty-six thousand, one hundred twelve".