10111132121120 has 192 divisors, whose sum is σ = 25439584464000. Its totient is φ = 3786707460096.

The previous prime is 10111132121117. The next prime is 10111132121131. The reversal of 10111132121120 is 2112123111101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646360019 + ... + 646375661.

It is an arithmetic number, because the mean of its divisors is an integer number (132497835750).

Almost surely, 2^{10111132121120} is an apocalyptic number.

10111132121120 is a gapful number since it is divisible by the number (10) 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 10111132121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719792232000).

10111132121120 is an abundant number, since it is smaller than the sum of its proper divisors (15328452342880).

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

10111132121120 is a wasteful number, since it uses less digits than its factorization.

10111132121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18155 (or 18147 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10111132121120 its reverse (2112123111101), we get a palindrome (12223255232221).

It can be divided in two parts, 10111 and 132121120, that added together give a palindrome (132131231).

The spelling of 10111132121120 in words is "ten trillion, one hundred eleven billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".