10111540340000 has 480 divisors, whose sum is σ = 27723889315584. Its totient is φ = 3597834240000.

The previous prime is 10111540339931. The next prime is 10111540340021. The reversal of 10111540340000 is 4304511101.

It is a happy number.

It is a super-3 number, since 3×10111540340000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5398579064 + ... + 5398580936.

Almost surely, 2^{10111540340000} is an apocalyptic number.

10111540340000 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 10111540340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861944657792).

10111540340000 is an abundant number, since it is smaller than the sum of its proper divisors (17612348975584).

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

10111540340000 is a wasteful number, since it uses less digits than its factorization.

10111540340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10111540340000 its reverse (4304511101), we get a palindrome (10115844851101).

The spelling of 10111540340000 in words is "ten trillion, one hundred eleven billion, five hundred forty million, three hundred forty thousand".