101010110000 has 100 divisors (see below), whose sum is σ = 245020743264. Its totient is φ = 40327200000.

The previous prime is 101010109909. The next prime is 101010110011. The reversal of 101010110000 is 11010101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5400665 + ... + 5419335.

Almost surely, 2^101010110000 is an apocalyptic number.

101010110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122510371632).

101010110000 is an abundant number, since it is smaller than the sum of its proper divisors (144010633264).

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

101010110000 is an equidigital number, since it uses as much as digits as its factorization.

101010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19240 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101010110000 its reverse (11010101), we get a palindrome (101021120101).

The spelling of 101010110000 in words is "one hundred one billion, ten million, one hundred ten thousand".