10111000102112 has 192 divisors, whose sum is σ = 24683649177600. Its totient is φ = 3969971398656.

The previous prime is 10111000102111. The next prime is 10111000102117. The reversal of 10111000102112 is 21120100011101.

It is a junction number, because it is equal to n+sod(n) for n = 10111000102093 and 10111000102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593116373 + ... + 593133419.

It is an arithmetic number, because the mean of its divisors is an integer number (128560672800).

Almost surely, 2^{10111000102112} 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 10111000102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341824588800).

10111000102112 is an abundant number, since it is smaller than the sum of its proper divisors (14572649075488).

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

10111000102112 is a wasteful number, since it uses less digits than its factorization.

10111000102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18593 (or 18585 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10111000102112 its reverse (21120100011101), we get a palindrome (31231100113213).

The spelling of 10111000102112 in words is "ten trillion, one hundred eleven billion, one hundred two thousand, one hundred twelve".