10001000011008 has 144 divisors (see below), whose sum is σ = 28022846080320. Its totient is φ = 3157681471488.

The previous prime is 10001000011003. The next prime is 10001000011021. The reversal of 10001000011008 is 80011000010001.

It is a happy number.

It is a super-2 number, since 2×10001000011008² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001000010984 and 10001000011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92123416 + ... + 92231912.

It is an arithmetic number, because the mean of its divisors is an integer number (194603097780).

Almost surely, 2^{10001000011008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001000011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011423040160).

10001000011008 is an abundant number, since it is smaller than the sum of its proper divisors (18021846069312).

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

10001000011008 is a wasteful number, since it uses less digits than its factorization.

10001000011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114852 (or 114838 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001000011008 its reverse (80011000010001), we get a palindrome (90012000021009).

The spelling of 10001000011008 in words is "ten trillion, one billion, eleven thousand, eight".