1000100001040 has 160 divisors (see below), whose sum is σ = 2797910922240. Its totient is φ = 324770342400.

The previous prime is 1000100001011. The next prime is 1000100001041. The reversal of 1000100001040 is 401000010001.

It is a happy number.

1000100001040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1000100001040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1000100001041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65226175 + ... + 65241505.

It is an arithmetic number, because the mean of its divisors is an integer number (17486943264).

Almost surely, 2^{1000100001040} is an apocalyptic number.

1000100001040 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 1000100001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398955461120).

1000100001040 is an abundant number, since it is smaller than the sum of its proper divisors (1797810921200).

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

1000100001040 is a wasteful number, since it uses less digits than its factorization.

1000100001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21501 (or 21495 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000100001040 its reverse (401000010001), we get a palindrome (1401100011041).

The spelling of 1000100001040 in words is "one trillion, one hundred million, one thousand, forty".