1001002102001 has 16 divisors (see below), whose sum is σ = 1103757402816. Its totient is φ = 900221400000.

The previous prime is 1001002101971. The next prime is 1001002102031. The reversal of 1001002102001 is 1002012001001.

It is an interprime number because it is at equal distance from previous prime (1001002101971) and next prime (1001002102031).

It is a cyclic number.

It is not a de Polignac number, because 1001002102001 - 2³⁰ = 999928360177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001002102001.

It is not an unprimeable number, because it can be changed into a prime (1001002102031) 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, 916271 + ... + 1685691.

It is an arithmetic number, because the mean of its divisors is an integer number (68984837676).

Almost surely, 2^{1001002102001} is an apocalyptic number.

1001002102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001002102001 is a deficient number, since it is larger than the sum of its proper divisors (102755300815).

1001002102001 is a wasteful number, since it uses less digits than its factorization.

1001002102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770704.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001002102001 its reverse (1002012001001), we get a palindrome (2003014103002).

The spelling of 1001002102001 in words is "one trillion, one billion, two million, one hundred two thousand, one".