1055011001100 has 144 divisors (see below), whose sum is σ = 3490818240000. Its totient is φ = 240989944320.

The previous prime is 1055011001089. The next prime is 1055011001141. The reversal of 1055011001100 is 11001105501.

1055011001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055011001100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1055011001100.

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, 3112776 + ... + 3435024.

Almost surely, 2^{1055011001100} is an apocalyptic number.

1055011001100 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 1055011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745409120000).

1055011001100 is an abundant number, since it is smaller than the sum of its proper divisors (2435807238900).

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

1055011001100 is a wasteful number, since it uses less digits than its factorization.

1055011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323832 (or 323825 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 1055011001100 its reverse (11001105501), we get a palindrome (1066012106601).

The spelling of 1055011001100 in words is "one trillion, fifty-five billion, eleven million, one thousand, one hundred".