10012101121120 has 192 divisors, whose sum is σ = 27712526308992. Its totient is φ = 3346513920000.

The previous prime is 10012101121111. The next prime is 10012101121159. The reversal of 10012101121120 is 2112110121001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10012101121120.

It is a congruent number.

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, 62417020 + ... + 62577220.

It is an arithmetic number, because the mean of its divisors is an integer number (144336074526).

Almost surely, 2^{10012101121120} is an apocalyptic number.

10012101121120 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 10012101121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856263154496).

10012101121120 is an abundant number, since it is smaller than the sum of its proper divisors (17700425187872).

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

10012101121120 is a wasteful number, since it uses less digits than its factorization.

10012101121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161625 (or 161617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10012101121120 its reverse (2112110121001), we get a palindrome (12124211242121).

The spelling of 10012101121120 in words is "ten trillion, twelve billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".