10010101001000 has 128 divisors (see below), whose sum is σ = 23643997977600. Its totient is φ = 3966388819200.

The previous prime is 10010101000997. The next prime is 10010101001003. The reversal of 10010101001000 is 10010101001.

It is an interprime number because it is at equal distance from previous prime (10010101000997) and next prime (10010101001003).

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 (10010101001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659115407 + ... + 659130593.

It is an arithmetic number, because the mean of its divisors is an integer number (184718734200).

Almost surely, 2^{10010101001000} is an apocalyptic number.

10010101001000 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 10010101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11821998988800).

10010101001000 is an abundant number, since it is smaller than the sum of its proper divisors (13633896976600).

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

10010101001000 is a wasteful number, since it uses less digits than its factorization.

10010101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21364 (or 21350 counting only the distinct ones).

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

Adding to 10010101001000 its reverse (10010101001), we get a palindrome (10020111102001).

10010101001000 divided by its reverse (10010101001) gives a cube (1000 = 10³).

The spelling of 10010101001000 in words is "ten trillion, ten billion, one hundred one million, one thousand".