10011001000000 has 1568 divisors, whose sum is σ = 34043819233536. Its totient is φ = 2820096000000.

The previous prime is 10011000999997. The next prime is 10011001000003. The reversal of 10011001000000 is 10011001.

It is an interprime number because it is at equal distance from previous prime (10011000999997) and next prime (10011001000003).

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

It is not an unprimeable number, because it can be changed into a prime (10011001000003) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 73072999932 + ... + 73073000068.

Almost surely, 2^{10011001000000} is an apocalyptic number.

10011001000000 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 10011001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021909616768).

10011001000000 is an abundant number, since it is smaller than the sum of its proper divisors (24032818233536).

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

10011001000000 is an equidigital number, since it uses as much as digits as its factorization.

10011001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 248 counting only the distinct ones).

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

Adding to 10011001000000 its reverse (10011001), we get a palindrome (10011011011001).

10011001000000 divided by its reverse (10011001) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 1001 and 1001000000, that multiplied together give a square (1002001000000 = 1001000²).

The spelling of 10011001000000 in words is "ten trillion, eleven billion, one million", and thus it is an aban number and an uban number.