10001010001000 has 256 divisors, whose sum is σ = 24135136384320. Its totient is φ = 3877632000000.

The previous prime is 10001010000973. The next prime is 10001010001027. The reversal of 10001010001000 is 10001010001.

It is an interprime number because it is at equal distance from previous prime (10001010000973) and next prime (10001010001027).

It can be written as a sum of positive squares in 32 ways, for example, as 32883470244 + 9968126530756 = 181338^2 + 3157234^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010096050 + ... + 1010105950.

Almost surely, 2^{10001010001000} is an apocalyptic number.

10001010001000 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 10001010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067568192160).

10001010001000 is an abundant number, since it is smaller than the sum of its proper divisors (14134126383320).

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

10001010001000 is a wasteful number, since it uses less digits than its factorization.

10001010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233 (or 10219 counting only the distinct ones).

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

Adding to 10001010001000 its reverse (10001010001), we get a palindrome (10011011011001).

10001010001000 divided by its reverse (10001010001) gives a cube (1000 = 10³).

It can be divided in two parts, 100010 and 10001000, that multiplied together give a square (1000200010000 = 1000100²).

The spelling of 10001010001000 in words is "ten trillion, one billion, ten million, one thousand".