10011001010000 has 400 divisors, whose sum is σ = 26012143449600. Its totient is φ = 3720157632000.

The previous prime is 10011001009993. The next prime is 10011001010009. The reversal of 10011001010000 is 1010011001.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001010009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2192027717 + ... + 2192032283.

It is an arithmetic number, because the mean of its divisors is an integer number (65030358624).

Almost surely, 2^{10011001010000} is an apocalyptic number.

10011001010000 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 10011001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006071724800).

10011001010000 is an abundant number, since it is smaller than the sum of its proper divisors (16001142439600).

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

10011001010000 is a wasteful number, since it uses less digits than its factorization.

10011001010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4815 counting only the distinct ones).

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

Adding to 10011001010000 its reverse (1010011001), we get a palindrome (10012011021001).

The spelling of 10011001010000 in words is "ten trillion, eleven billion, one million, ten thousand".