101110500005040 has 200 divisors, whose sum is σ = 351222437847600. Its totient is φ = 26958907897344.

The previous prime is 101110500004993. The next prime is 101110500005041. The reversal of 101110500005040 is 40500005011101.

It is a happy number.

101110500005040 is a `hidden beast` number, since 1 + 0 + 1 + 110 + 50 + 0 + 0 + 0 + 504 + 0 = 666.

It is a super-2 number, since 2×101110500005040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101110500005041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43906807 + ... + 46152233.

It is an arithmetic number, because the mean of its divisors is an integer number (1756112189238).

Almost surely, 2^{101110500005040} is an apocalyptic number.

101110500005040 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 101110500005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175611218923800).

101110500005040 is an abundant number, since it is smaller than the sum of its proper divisors (250111937842560).

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

101110500005040 is a wasteful number, since it uses less digits than its factorization.

101110500005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252401 (or 2252386 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 101110500005040 its reverse (40500005011101), we get a palindrome (141610505016141).

The spelling of 101110500005040 in words is "one hundred one trillion, one hundred ten billion, five hundred million, five thousand, forty".