11012111120010 has 768 divisors, whose sum is σ = 37834962923520. Its totient is φ = 1990456934400.

The previous prime is 11012111119987. The next prime is 11012111120027. The reversal of 11012111120010 is 1002111121011.

11012111120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1211315565 + ... + 1211324655.

It is an arithmetic number, because the mean of its divisors is an integer number (49264274640).

Almost surely, 2^{11012111120010} is an apocalyptic number.

11012111120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012111120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917481461760).

11012111120010 is an abundant number, since it is smaller than the sum of its proper divisors (26822851803510).

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

11012111120010 is a wasteful number, since it uses less digits than its factorization.

11012111120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9355 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11012111120010 its reverse (1002111121011), we get a palindrome (12014222241021).

It can be divided in two parts, 11012111 and 120010, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 11012111120010 in words is "eleven trillion, twelve billion, one hundred eleven million, one hundred twenty thousand, ten".