10000010121112 has 256 divisors, whose sum is σ = 22032978739200. Its totient is φ = 4210136071680.

The previous prime is 10000010121077. The next prime is 10000010121133. The reversal of 10000010121112 is 21112101000001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2423067993 + ... + 2423072119.

It is an arithmetic number, because the mean of its divisors is an integer number (86066323200).

Almost surely, 2^{10000010121112} 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 10000010121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016489369600).

10000010121112 is an abundant number, since it is smaller than the sum of its proper divisors (12032968618088).

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

10000010121112 is a wasteful number, since it uses less digits than its factorization.

10000010121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4522 counting only the distinct ones).

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

Adding to 10000010121112 its reverse (21112101000001), we get a palindrome (31112111121113).

The spelling of 10000010121112 in words is "ten trillion, ten million, one hundred twenty-one thousand, one hundred twelve".