1011103031100 has 144 divisors (see below), whose sum is σ = 2958060359520. Its totient is φ = 266629248000.

The previous prime is 1011103031083. The next prime is 1011103031101. The reversal of 1011103031100 is 11303011101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011103031101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25098574 + ... + 25138826.

It is an arithmetic number, because the mean of its divisors is an integer number (20542085830).

Almost surely, 2^{1011103031100} is an apocalyptic number.

1011103031100 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 1011103031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479030179760).

1011103031100 is an abundant number, since it is smaller than the sum of its proper divisors (1946957328420).

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

1011103031100 is a wasteful number, since it uses less digits than its factorization.

1011103031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41200 (or 41193 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1011103031100 its reverse (11303011101), we get a palindrome (1022406042201).

The spelling of 1011103031100 in words is "one trillion, eleven billion, one hundred three million, thirty-one thousand, one hundred".