1011011200100 has 288 divisors, whose sum is σ = 2554546498560. Its totient is φ = 343683648000.

The previous prime is 1011011200093. The next prime is 1011011200217. The reversal of 1011011200100 is 10021101101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251555891 + ... + 251559909.

It is an arithmetic number, because the mean of its divisors is an integer number (8869953120).

Almost surely, 2^{1011011200100} is an apocalyptic number.

1011011200100 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 1011011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277273249280).

1011011200100 is an abundant number, since it is smaller than the sum of its proper divisors (1543535298460).

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

1011011200100 is a wasteful number, since it uses less digits than its factorization.

1011011200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011011200100 its reverse (10021101101), we get a palindrome (1021032301201).

The spelling of 1011011200100 in words is "one trillion, eleven billion, eleven million, two hundred thousand, one hundred".