10100107111040 has 64 divisors (see below), whose sum is σ = 24147574605000. Its totient is φ = 4039707193344.

The previous prime is 10100107111033. The next prime is 10100107111051. The reversal of 10100107111040 is 4011170100101.

10100107111040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10085299141696 + 14807969344 = 3175736^2 + 121688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7125866 + ... + 8424854.

Almost surely, 2^{10100107111040} is an apocalyptic number.

10100107111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100107111040 is an abundant number, since it is smaller than the sum of its proper divisors (14047467493960).

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

10100107111040 is a wasteful number, since it uses less digits than its factorization.

10100107111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311157 (or 1311145 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 10100107111040 its reverse (4011170100101), we get a palindrome (14111277211141).

The spelling of 10100107111040 in words is "ten trillion, one hundred billion, one hundred seven million, one hundred eleven thousand, forty".