101001010000110 has 192 divisors, whose sum is σ = 276718156545600. Its totient is φ = 23555653355520.

The previous prime is 101001010000097. The next prime is 101001010000129. The reversal of 101001010000110 is 11000010100101.

101001010000110 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7728876 + ... + 16178304.

It is an arithmetic number, because the mean of its divisors is an integer number (1441240398675).

Almost surely, 2^{101001010000110} is an apocalyptic number.

101001010000110 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 101001010000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138359078272800).

101001010000110 is an abundant number, since it is smaller than the sum of its proper divisors (175717146545490).

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

101001010000110 is a wasteful number, since it uses less digits than its factorization.

101001010000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449587 (or 8449576 counting only the distinct ones).

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

Adding to 101001010000110 its reverse (11000010100101), we get a palindrome (112001020100211).

Subtracting from 101001010000110 its reverse (11000010100101), we obtain a palindrome (90000999900009).

The spelling of 101001010000110 in words is "one hundred one trillion, one billion, ten million, one hundred ten", and thus it is an aban number.