11011012112100 has 1296 divisors, whose sum is σ = 45286837790208. Its totient is φ = 2043740160000.

The previous prime is 11011012112057. The next prime is 11011012112159. The reversal of 11011012112100 is 121121011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 716808420 + ... + 716823780.

Almost surely, 2^{11011012112100} is an apocalyptic number.

11011012112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011012112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643418895104).

11011012112100 is an abundant number, since it is smaller than the sum of its proper divisors (34275825678108).

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

11011012112100 is a wasteful number, since it uses less digits than its factorization.

11011012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15458 (or 15433 counting only the distinct ones).

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

Adding to 11011012112100 its reverse (121121011011), we get a palindrome (11132133123111).

The spelling of 11011012112100 in words is "eleven trillion, eleven billion, twelve million, one hundred twelve thousand, one hundred".