10001001100110 has 256 divisors, whose sum is σ = 25330209490944. Its totient is φ = 2524583780352.

The previous prime is 10001001100099. The next prime is 10001001100117. The reversal of 10001001100110 is 1100110010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

10001001100110 is a modest number, since divided by 1100110 gives 100010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001100117) 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 127 ways as a sum of consecutive naturals, for example, 1809478167 + ... + 1809483693.

It is an arithmetic number, because the mean of its divisors is an integer number (98946130824).

Almost surely, 2^{10001001100110} is an apocalyptic number.

10001001100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001001100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665104745472).

10001001100110 is an abundant number, since it is smaller than the sum of its proper divisors (15329208390834).

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

10001001100110 is a wasteful number, since it uses less digits than its factorization.

10001001100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001001100110 its reverse (1100110010001), we get a palindrome (11101111110111).

The spelling of 10001001100110 in words is "ten trillion, one billion, one million, one hundred thousand, one hundred ten".