100001011000110 has 256 divisors, whose sum is σ = 270625457922048. Its totient is φ = 23435933990400.

The previous prime is 100001011000091. The next prime is 100001011000127. The reversal of 100001011000110 is 11000110100001.

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

100001011000110 is a modest number, since divided by 11000110 gives 1000010 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10999996665 + ... + 11000005755.

It is an arithmetic number, because the mean of its divisors is an integer number (1057130695008).

Almost surely, 2^{100001011000110} is an apocalyptic number.

100001011000110 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 100001011000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135312728961024).

100001011000110 is an abundant number, since it is smaller than the sum of its proper divisors (170624446921938).

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

100001011000110 is a wasteful number, since it uses less digits than its factorization.

100001011000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839.

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

Adding to 100001011000110 its reverse (11000110100001), we get a palindrome (111001121100111).

The spelling of 100001011000110 in words is "one hundred trillion, one billion, eleven million, one hundred ten", and thus it is an aban number.