101110105000 has 40 divisors (see below), whose sum is σ = 236900987730. Its totient is φ = 40444040000.

The previous prime is 101110104973. The next prime is 101110105001. The reversal of 101110105000 is 501011101.

It can be written as a sum of positive squares in 5 ways, for example, as 4123951524 + 96986153476 = 64218^2 + 311426^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101110105000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101110105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10106011 + ... + 10116010.

Almost surely, 2^101110105000 is an apocalyptic number.

101110105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110105000 is an abundant number, since it is smaller than the sum of its proper divisors (135790882730).

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

101110105000 is an equidigital number, since it uses as much as digits as its factorization.

101110105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222047 (or 20222028 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 101110105000 its reverse (501011101), we get a palindrome (101611116101).

The spelling of 101110105000 in words is "one hundred one billion, one hundred ten million, one hundred five thousand".