1001001002000 has 80 divisors (see below), whose sum is σ = 2420637128832. Its totient is φ = 400364553600.

The previous prime is 1001001001963. The next prime is 1001001002003. The reversal of 1001001002000 is 2001001001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (1001001002003) 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, 42362189 + ... + 42385811.

Almost surely, 2^{1001001002000} is an apocalyptic number.

1001001002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001002000 is an abundant number, since it is smaller than the sum of its proper divisors (1419636126832).

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

1001001002000 is a wasteful number, since it uses less digits than its factorization.

1001001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44833 (or 44817 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1001001002000 its reverse (2001001001), we get a palindrome (1003002003001).

Subtracting from 1001001002000 its reverse (2001001001), we obtain a palindrome (999000000999).

The spelling of 1001001002000 in words is "one trillion, one billion, one million, two thousand".