1100245010100 has 144 divisors (see below), whose sum is σ = 3253741747200. Its totient is φ = 286923432320.

The previous prime is 1100245010099. The next prime is 1100245010119. The reversal of 1100245010100 is 10105420011.

It is a happy number.

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 1100245010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17720911 + ... + 17782889.

It is an arithmetic number, because the mean of its divisors is an integer number (22595428800).

Almost surely, 2^{1100245010100} is an apocalyptic number.

1100245010100 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 1100245010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626870873600).

1100245010100 is an abundant number, since it is smaller than the sum of its proper divisors (2153496737100).

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

1100245010100 is a wasteful number, since it uses less digits than its factorization.

1100245010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63302 (or 63295 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The spelling of 1100245010100 in words is "one trillion, one hundred billion, two hundred forty-five million, ten thousand, one hundred".