10101011000 has 64 divisors (see below), whose sum is σ = 23681324160. Its totient is φ = 4032720000.

The previous prime is 10101010999. The next prime is 10101011009. The reversal of 10101011000 is 11010101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531665 + ... + 550335.

It is an arithmetic number, because the mean of its divisors is an integer number (370020690).

Almost surely, 2^10101011000 is an apocalyptic number.

10101011000 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 10101011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11840662080).

10101011000 is an abundant number, since it is smaller than the sum of its proper divisors (13580313160).

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

10101011000 is a wasteful number, since it uses less digits than its factorization.

10101011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19219 counting only the distinct ones).

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

Adding to 10101011000 its reverse (11010101), we get a palindrome (10112021101).

It can be divided in two parts, 1010101 and 1000, that added together give a palindrome (1011101).

The spelling of 10101011000 in words is "ten billion, one hundred one million, eleven thousand".