10000001001140 has 24 divisors (see below), whose sum is σ = 21000068964000. Its totient is φ = 3999987664928.

The previous prime is 10000001001139. The next prime is 10000001001149. The reversal of 10000001001140 is 4110010000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001001149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8029259 + ... + 9190701.

It is an arithmetic number, because the mean of its divisors is an integer number (875002873500).

Almost surely, 2^{10000001001140} is an apocalyptic number.

10000001001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001001140 is an abundant number, since it is smaller than the sum of its proper divisors (11000067962860).

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

10000001001140 is a wasteful number, since it uses less digits than its factorization.

10000001001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591951 (or 1591949 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000001001140 its reverse (4110010000001), we get a palindrome (14110011001141).

The spelling of 10000001001140 in words is "ten trillion, one million, one thousand, one hundred forty".