100101011000110 has 64 divisors (see below), whose sum is σ = 188728310721024. Its totient is φ = 38154555964800.

The previous prime is 100101011000077. The next prime is 100101011000119. The reversal of 100101011000110 is 11000110101001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100101011000093 and 100101011000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011000119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98998900 + ... + 100004920.

It is an arithmetic number, because the mean of its divisors is an integer number (2948879855016).

Almost surely, 2^{100101011000110} is an apocalyptic number.

100101011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101011000110 is a deficient number, since it is larger than the sum of its proper divisors (88627299720914).

100101011000110 is a wasteful number, since it uses less digits than its factorization.

100101011000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007689.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101011000110 its reverse (11000110101001), we get a palindrome (111101121101111).

The spelling of 100101011000110 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred ten", and thus it is an aban number.