1009181910010 has 16 divisors (see below), whose sum is σ = 1822368367872. Its totient is φ = 402374779600.

The previous prime is 1009181910001. The next prime is 1009181910047. The reversal of 1009181910010 is 100191819001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162244786 + ... + 162251005.

It is an arithmetic number, because the mean of its divisors is an integer number (113898022992).

Almost surely, 2^{1009181910010} is an apocalyptic number.

1009181910010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009181910010 is a deficient number, since it is larger than the sum of its proper divisors (813186457862).

1009181910010 is a wasteful number, since it uses less digits than its factorization.

1009181910010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324496109.

The product of its (nonzero) digits is 648, while the sum is 31.

It can be divided in two parts, 1009181 and 910010, that added together give a palindrome (1919191).

The spelling of 1009181910010 in words is "one trillion, nine billion, one hundred eighty-one million, nine hundred ten thousand, ten".