10002112101120 has 288 divisors, whose sum is σ = 34989646749120. Its totient is φ = 2423770316800.

The previous prime is 10002112101119. The next prime is 10002112101173. The reversal of 10002112101120 is 2110121120001.

It is a super-2 number, since 2×10002112101120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002112101096 and 10002112101105.

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, 748581 + ... + 4534820.

It is an arithmetic number, because the mean of its divisors is an integer number (121491828990).

Almost surely, 2^{10002112101120} is an apocalyptic number.

10002112101120 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 10002112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494823374560).

10002112101120 is an abundant number, since it is smaller than the sum of its proper divisors (24987534648000).

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

10002112101120 is a wasteful number, since it uses less digits than its factorization.

10002112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283471 (or 5283457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10002112101120 its reverse (2110121120001), we get a palindrome (12112233221121).

The spelling of 10002112101120 in words is "ten trillion, two billion, one hundred twelve million, one hundred one thousand, one hundred twenty".