1111001010000 has 800 divisors, whose sum is σ = 4227821664000. Its totient is φ = 251193600000.

The previous prime is 1111001009891. The next prime is 1111001010017. The reversal of 1111001010000 is 101001111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1039289466 + ... + 1039290534.

It is an arithmetic number, because the mean of its divisors is an integer number (5284777080).

Almost surely, 2^{1111001010000} is an apocalyptic number.

1111001010000 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 1111001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113910832000).

1111001010000 is an abundant number, since it is smaller than the sum of its proper divisors (3116820654000).

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

1111001010000 is a wasteful number, since it uses less digits than its factorization.

1111001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1111001010000 its reverse (101001111), we get a palindrome (1111102011111).

It can be divided in two parts, 11 and 11001010000, that added together give a palindrome (11001010011).

The spelling of 1111001010000 in words is "one trillion, one hundred eleven billion, one million, ten thousand".