101005000110 has 160 divisors (see below), whose sum is σ = 320403105792. Its totient is φ = 22342080960.

The previous prime is 101005000087. The next prime is 101005000111. The reversal of 101005000110 is 11000500101.

It is a super-2 number, since 2×101005000110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101005000092 and 101005000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111552 + ... + 463091.

Almost surely, 2^101005000110 is an apocalyptic number.

101005000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101005000110 is an abundant number, since it is smaller than the sum of its proper divisors (219398105682).

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

101005000110 is a wasteful number, since it uses less digits than its factorization.

101005000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574700 (or 574691 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 101005000110 its reverse (11000500101), we get a palindrome (112005500211).

The spelling of 101005000110 in words is "one hundred one billion, five million, one hundred ten", and thus it is an aban number.