10000103111040 has 384 divisors, whose sum is σ = 38358076629600. Its totient is φ = 2206918705152.

The previous prime is 10000103111039. The next prime is 10000103111111. The reversal of 10000103111040 is 4011130100001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895672 + ... + 4560968.

Almost surely, 2^{10000103111040} is an apocalyptic number.

10000103111040 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 10000103111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179038314800).

10000103111040 is an abundant number, since it is smaller than the sum of its proper divisors (28357973518560).

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

10000103111040 is a wasteful number, since it uses less digits than its factorization.

10000103111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665362 (or 3665343 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10000103111040 its reverse (4011130100001), we get a palindrome (14011233211041).

The spelling of 10000103111040 in words is "ten trillion, one hundred three million, one hundred eleven thousand, forty".