10010120001112 has 288 divisors, whose sum is σ = 25415946581760. Its totient is φ = 3674773872000.

The previous prime is 10010120001067. The next prime is 10010120001163. The reversal of 10010120001112 is 21110002101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73024237 + ... + 73161187.

It is an arithmetic number, because the mean of its divisors is an integer number (88249814520).

Almost surely, 2^{10010120001112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010120001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707973290880).

10010120001112 is an abundant number, since it is smaller than the sum of its proper divisors (15405826580648).

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

10010120001112 is a wasteful number, since it uses less digits than its factorization.

10010120001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137083 (or 137061 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010120001112 its reverse (21110002101001), we get a palindrome (31120122102113).

The spelling of 10010120001112 in words is "ten trillion, ten billion, one hundred twenty million, one thousand, one hundred twelve".