1001110211100 has 108 divisors (see below), whose sum is σ = 3139244570280. Its totient is φ = 266850403200.

The previous prime is 1001110211077. The next prime is 1001110211113. The reversal of 1001110211100 is 11120111001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1917295 + ... + 2382905.

Almost surely, 2^{1001110211100} is an apocalyptic number.

1001110211100 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 1001110211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569622285140).

1001110211100 is an abundant number, since it is smaller than the sum of its proper divisors (2138134359180).

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

1001110211100 is a wasteful number, since it uses less digits than its factorization.

1001110211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468020 (or 468010 counting only the distinct ones).

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

Adding to 1001110211100 its reverse (11120111001), we get a palindrome (1012230322101).

The spelling of 1001110211100 in words is "one trillion, one billion, one hundred ten million, two hundred eleven thousand, one hundred".