1001000101008 has 80 divisors (see below), whose sum is σ = 2656952085056. Its totient is φ = 324508654080.

The previous prime is 1001000101001. The next prime is 1001000101021. The reversal of 1001000101008 is 8001010001001.

It is a happy number.

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 = 1001000100984 and 1001000101002.

It is not an unprimeable number, because it can be changed into a prime (1001000101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4037235 + ... + 4277997.

Almost surely, 2^{1001000101008} 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 1001000101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328476042528).

1001000101008 is an abundant number, since it is smaller than the sum of its proper divisors (1655951984048).

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

1001000101008 is a wasteful number, since it uses less digits than its factorization.

1001000101008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243152 (or 243146 counting only the distinct ones).

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

Adding to 1001000101008 its reverse (8001010001001), we get a palindrome (9002010102009).

The spelling of 1001000101008 in words is "one trillion, one billion, one hundred one thousand, eight".