10000001011000 has 512 divisors, whose sum is σ = 31729576919040. Its totient is φ = 2848608000000.

The previous prime is 10000001010917. The next prime is 10000001011031. The reversal of 10000001011000 is 11010000001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101051545 + ... + 101150455.

It is an arithmetic number, because the mean of its divisors is an integer number (61971829920).

Almost surely, 2^{10000001011000} is an apocalyptic number.

10000001011000 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 10000001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864788459520).

10000001011000 is an abundant number, since it is smaller than the sum of its proper divisors (21729575908040).

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

10000001011000 is a wasteful number, since it uses less digits than its factorization.

10000001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99064 (or 99050 counting only the distinct ones).

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

Adding to 10000001011000 its reverse (11010000001), we get a palindrome (10011011011001).

The spelling of 10000001011000 in words is "ten trillion, one million, eleven thousand".