1000192011100 has 72 divisors (see below), whose sum is σ = 2224426127616. Its totient is φ = 390130560000.

The previous prime is 1000192010999. The next prime is 1000192011101. The reversal of 1000192011100 is 11102910001.

1000192011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000192011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8597320 + ... + 8712880.

It is an arithmetic number, because the mean of its divisors is an integer number (30894807328).

Almost surely, 2^{1000192011100} is an apocalyptic number.

1000192011100 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 1000192011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112213063808).

1000192011100 is an abundant number, since it is smaller than the sum of its proper divisors (1224234116516).

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

1000192011100 is a wasteful number, since it uses less digits than its factorization.

1000192011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117727 (or 117720 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1000192011100 its reverse (11102910001), we get a palindrome (1011294921101).

The spelling of 1000192011100 in words is "one trillion, one hundred ninety-two million, eleven thousand, one hundred".