10011121001100 has 144 divisors (see below), whose sum is σ = 32227813572640. Its totient is φ = 2665989676800.

The previous prime is 10011121001093. The next prime is 10011121001117. The reversal of 10011121001100 is 110012111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550111 + ... + 4508310.

Almost surely, 2^{10011121001100} is an apocalyptic number.

10011121001100 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 10011121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113906786320).

10011121001100 is an abundant number, since it is smaller than the sum of its proper divisors (22216692571540).

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

10011121001100 is a wasteful number, since it uses less digits than its factorization.

10011121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059177 (or 5059164 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011121001100 its reverse (110012111001), we get a palindrome (10121133112101).

The spelling of 10011121001100 in words is "ten trillion, eleven billion, one hundred twenty-one million, one thousand, one hundred".