11121012101100 has 576 divisors, whose sum is σ = 36552150512640. Its totient is φ = 2585918361600.

The previous prime is 11121012101099. The next prime is 11121012101113. The reversal of 11121012101100 is 110121012111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17188580977 + ... + 17188581623.

It is an arithmetic number, because the mean of its divisors is an integer number (63458594640).

Almost surely, 2^{11121012101100} is an apocalyptic number.

11121012101100 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 11121012101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18276075256320).

11121012101100 is an abundant number, since it is smaller than the sum of its proper divisors (25431138411540).

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

11121012101100 is a wasteful number, since it uses less digits than its factorization.

11121012101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1603 counting only the distinct ones).

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

Adding to 11121012101100 its reverse (110121012111), we get a palindrome (11231133113211).

The spelling of 11121012101100 in words is "eleven trillion, one hundred twenty-one billion, twelve million, one hundred one thousand, one hundred".