10010001100110 has 128 divisors (see below), whose sum is σ = 26481930048000. Its totient is φ = 2401310392320.

The previous prime is 10010001100103. The next prime is 10010001100123. The reversal of 10010001100110 is 1100110001001.

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

10010001100110 is a modest number, since divided by 1100110 gives 100100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283238821 + ... + 283274159.

It is an arithmetic number, because the mean of its divisors is an integer number (206890078500).

Almost surely, 2^{10010001100110} is an apocalyptic number.

10010001100110 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 10010001100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240965024000).

10010001100110 is an abundant number, since it is smaller than the sum of its proper divisors (16471928947890).

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

10010001100110 is a wasteful number, since it uses less digits than its factorization.

10010001100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44306.

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

Adding to 10010001100110 its reverse (1100110001001), we get a palindrome (11110111101111).

The spelling of 10010001100110 in words is "ten trillion, ten billion, one million, one hundred thousand, one hundred ten".