100110211070040 has 96 divisors (see below), whose sum is σ = 325366040656800. Its totient is φ = 26695411799040.

The previous prime is 100110211070039. The next prime is 100110211070063. The reversal of 100110211070040 is 40070112011001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100110211069995 and 100110211070022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11669301 + ... + 18341019.

It is an arithmetic number, because the mean of its divisors is an integer number (3389229590175).

Almost surely, 2^{100110211070040} is an apocalyptic number.

100110211070040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110211070040 is an abundant number, since it is smaller than the sum of its proper divisors (225255829586760).

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

100110211070040 is a wasteful number, since it uses less digits than its factorization.

100110211070040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713417 (or 6713410 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 100110211070040 its reverse (40070112011001), we get a palindrome (140180323081041).

The spelling of 100110211070040 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, seventy thousand, forty".