1011041201100 has 216 divisors, whose sum is σ = 3405741216528. Its totient is φ = 230900544000.

The previous prime is 1011041201089. The next prime is 1011041201111. The reversal of 1011041201100 is 11021401101.

It is an interprime number because it is at equal distance from previous prime (1011041201089) and next prime (1011041201111).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17802750 + ... + 17859450.

Almost surely, 2^{1011041201100} is an apocalyptic number.

1011041201100 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 1011041201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702870608264).

1011041201100 is an abundant number, since it is smaller than the sum of its proper divisors (2394700015428).

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

1011041201100 is a wasteful number, since it uses less digits than its factorization.

1011041201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57945 (or 57931 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011041201100 its reverse (11021401101), we get a palindrome (1022062602201).

The spelling of 1011041201100 in words is "one trillion, eleven billion, forty-one million, two hundred one thousand, one hundred".