11101021122012 has 192 divisors, whose sum is σ = 26950669498368. Its totient is φ = 3553984512000.

The previous prime is 11101021121969. The next prime is 11101021122043. The reversal of 11101021122012 is 21022112010111.

It is a happy number.

11101021122012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11101021121982 and 11101021122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4488887208 + ... + 4488889680.

It is an arithmetic number, because the mean of its divisors is an integer number (140368070304).

Almost surely, 2^{11101021122012} is an apocalyptic number.

11101021122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101021122012 is an abundant number, since it is smaller than the sum of its proper divisors (15849648376356).

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

11101021122012 is a wasteful number, since it uses less digits than its factorization.

11101021122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11101021122012 its reverse (21022112010111), we get a palindrome (32123133132123).

The spelling of 11101021122012 in words is "eleven trillion, one hundred one billion, twenty-one million, one hundred twenty-two thousand, twelve".