10101010000 has 200 divisors, whose sum is σ = 25218758664. Its totient is φ = 3916800000.

The previous prime is 10101009991. The next prime is 10101010009. The reversal of 10101010000 is 1010101.

It is an interprime number because it is at equal distance from previous prime (10101009991) and next prime (10101010009).

It can be written as a sum of positive squares in 20 ways, for example, as 7948792336 + 2152217664 = 89156^2 + 46392^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101010009) 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 39 ways as a sum of consecutive naturals, for example, 73729932 + ... + 73730068.

Almost surely, 2^10101010000 is an apocalyptic number.

10101010000 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 10101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609379332).

10101010000 is an abundant number, since it is smaller than the sum of its proper divisors (15117748664).

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

10101010000 is a wasteful number, since it uses less digits than its factorization.

10101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10101010000 its reverse (1010101), we get a palindrome (10102020101).

10101010000 divided by its reverse (1010101) gives a 4-th power (10000 = 10⁴).

The spelling of 10101010000 in words is "ten billion, one hundred one million, ten thousand".