100011100101040 has 20 divisors (see below), whose sum is σ = 232525807735104. Its totient is φ = 40004440040384.

The previous prime is 100011100101013. The next prime is 100011100101041. The reversal of 100011100101040 is 40101001110001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100011100101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625069375552 + ... + 625069375711.

Almost surely, 2^{100011100101040} is an apocalyptic number.

100011100101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011100101040 is an abundant number, since it is smaller than the sum of its proper divisors (132514707634064).

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

100011100101040 is a wasteful number, since it uses less digits than its factorization.

100011100101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250138751276 (or 1250138751270 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011100101040 its reverse (40101001110001), we get a palindrome (140112101211041).

The spelling of 100011100101040 in words is "one hundred trillion, eleven billion, one hundred million, one hundred one thousand, forty".