10010112121120 has 96 divisors (see below), whose sum is σ = 24212294620416. Its totient is φ = 3909078528000.

The previous prime is 10010112121111. The next prime is 10010112121129. The reversal of 10010112121120 is 2112121101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010112121111) and next prime (10010112121129).

It is a self number, because there is not a number n which added to its sum of digits gives 10010112121120.

It is not an unprimeable number, because it can be changed into a prime (10010112121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355755 + ... + 4675285.

It is an arithmetic number, because the mean of its divisors is an integer number (252211402296).

Almost surely, 2^{10010112121120} is an apocalyptic number.

10010112121120 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 10010112121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106147310208).

10010112121120 is an abundant number, since it is smaller than the sum of its proper divisors (14202182499296).

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

10010112121120 is a wasteful number, since it uses less digits than its factorization.

10010112121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319994 (or 3319986 counting only the distinct ones).

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

Adding to 10010112121120 its reverse (2112121101001), we get a palindrome (12122233222121).

The spelling of 10010112121120 in words is "ten trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".