1011100201110 has 96 divisors (see below), whose sum is σ = 2647218974400. Its totient is φ = 267744787200.

The previous prime is 1011100201099. The next prime is 1011100201141. The reversal of 1011100201110 is 111020011101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011100201092 and 1011100201101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65178255 + ... + 65193765.

It is an arithmetic number, because the mean of its divisors is an integer number (27575197650).

Almost surely, 2^{1011100201110} is an apocalyptic number.

1011100201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011100201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323609487200).

1011100201110 is an abundant number, since it is smaller than the sum of its proper divisors (1636118773290).

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

1011100201110 is a wasteful number, since it uses less digits than its factorization.

1011100201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20534 (or 20531 counting only the distinct ones).

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

Adding to 1011100201110 its reverse (111020011101), we get a palindrome (1122120212211).

The spelling of 1011100201110 in words is "one trillion, eleven billion, one hundred million, two hundred one thousand, one hundred ten".