101001001000110 has 32 divisors (see below), whose sum is σ = 252941637288960. Its totient is φ = 25762574167968.

The previous prime is 101001001000033. The next prime is 101001001000111. The reversal of 101001001000110 is 11000100100101.

101001001000110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73189130470 + ... + 73189131849.

It is an arithmetic number, because the mean of its divisors is an integer number (7904426165280).

Almost surely, 2^{101001001000110} is an apocalyptic number.

101001001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001001000110 is an abundant number, since it is smaller than the sum of its proper divisors (151940636288850).

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

101001001000110 is a wasteful number, since it uses less digits than its factorization.

101001001000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146378262352.

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

Adding to 101001001000110 its reverse (11000100100101), we get a palindrome (112001101100211).

Subtracting from 101001001000110 its reverse (11000100100101), we obtain a palindrome (90000900900009).

The spelling of 101001001000110 in words is "one hundred one trillion, one billion, one million, one hundred ten", and thus it is an aban number.