10111400000 has 168 divisors, whose sum is σ = 27015536520. Its totient is φ = 3732480000.

The previous prime is 10111399981. The next prime is 10111400009. The reversal of 10111400000 is 411101.

It can be written as a sum of positive squares in 12 ways, for example, as 10094622784 + 16777216 = 100472^2 + 4096^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10111400009) 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, 2598056 + ... + 2601944.

It is an arithmetic number, because the mean of its divisors is an integer number (160806765).

Almost surely, 2^10111400000 is an apocalyptic number.

10111400000 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 10111400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507768260).

10111400000 is an abundant number, since it is smaller than the sum of its proper divisors (16904136520).

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

10111400000 is an frugal number, since it uses more digits than its factorization.

10111400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10111400000 its reverse (411101), we get a palindrome (10111811101).

The spelling of 10111400000 in words is "ten billion, one hundred eleven million, four hundred thousand".