1010011102100 has 288 divisors, whose sum is σ = 2969764089600. Its totient is φ = 287923507200.

The previous prime is 1010011102069. The next prime is 1010011102127. The reversal of 1010011102100 is 12011100101.

It is a happy number.

It is a congruent 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, 10864616 + ... + 10957184.

Almost surely, 2^{1010011102100} is an apocalyptic number.

1010011102100 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 1010011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484882044800).

1010011102100 is an abundant number, since it is smaller than the sum of its proper divisors (1959752987500).

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

1010011102100 is a wasteful number, since it uses less digits than its factorization.

1010011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92723 (or 92716 counting only the distinct ones).

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

Adding to 1010011102100 its reverse (12011100101), we get a palindrome (1022022202201).

It can be divided in two parts, 1010011 and 102100, that added together give a palindrome (1112111).

The spelling of 1010011102100 in words is "one trillion, ten billion, eleven million, one hundred two thousand, one hundred".