10100001100110 has 16 divisors (see below), whose sum is σ = 24240002640336. Its totient is φ = 2693333626688.

The previous prime is 10100001100097. The next prime is 10100001100121. The reversal of 10100001100110 is 1100110000101.

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

10100001100110 is a modest number, since divided by 1100110 gives 101000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168333351639 + ... + 168333351698.

It is an arithmetic number, because the mean of its divisors is an integer number (1515000165021).

Almost surely, 2^{10100001100110} is an apocalyptic number.

10100001100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100001100110 is an abundant number, since it is smaller than the sum of its proper divisors (14140001540226).

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

10100001100110 is a wasteful number, since it uses less digits than its factorization.

10100001100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336666703347.

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

Adding to 10100001100110 its reverse (1100110000101), we get a palindrome (11200111100211).

The spelling of 10100001100110 in words is "ten trillion, one hundred billion, one million, one hundred thousand, one hundred ten".