1001020001001 has 32 divisors (see below), whose sum is σ = 1412999976960. Its totient is φ = 629273112384.

The previous prime is 1001020000993. The next prime is 1001020001021. The reversal of 1001020001001 is 1001000201001.

It is not a de Polignac number, because 1001020001001 - 2³ = 1001020000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001020001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57763600 + ... + 57780926.

It is an arithmetic number, because the mean of its divisors is an integer number (44156249280).

Almost surely, 2^{1001020001001} is an apocalyptic number.

It is an amenable number.

1001020001001 is a deficient number, since it is larger than the sum of its proper divisors (411979975959).

1001020001001 is a wasteful number, since it uses less digits than its factorization.

1001020001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32845.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001020001001 its reverse (1001000201001), we get a palindrome (2002020202002).

The spelling of 1001020001001 in words is "one trillion, one billion, twenty million, one thousand, one".