10101101000 has 32 divisors (see below), whose sum is σ = 23636578680. Its totient is φ = 4040440000.

The previous prime is 10101100981. The next prime is 10101101009. The reversal of 10101101000 is 10110101.

It can be written as a sum of positive squares in 4 ways, for example, as 5495849956 + 4605251044 = 74134^2 + 67862^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10101101009) 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 7 ways as a sum of consecutive naturals, for example, 5049551 + ... + 5051550.

Almost surely, 2^10101101000 is an apocalyptic number.

10101101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101101000 is an abundant number, since it is smaller than the sum of its proper divisors (13535477680).

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

10101101000 is a wasteful number, since it uses less digits than its factorization.

10101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101122 (or 10101108 counting only the distinct ones).

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

Adding to 10101101000 its reverse (10110101), we get a palindrome (10111211101).

The spelling of 10101101000 in words is "ten billion, one hundred one million, one hundred one thousand".