1020001102001 has 8 divisors (see below), whose sum is σ = 1184825636544. Its totient is φ = 859954090320.

The previous prime is 1020001101967. The next prime is 1020001102027. The reversal of 1020001102001 is 1002011000201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020001102001 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 1020001102001.

It is not an unprimeable number, because it can be changed into a prime (1020001102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194380255 + ... + 1194381108.

It is an arithmetic number, because the mean of its divisors is an integer number (148103204568).

Almost surely, 2^{1020001102001} is an apocalyptic number.

It is an amenable number.

1020001102001 is a deficient number, since it is larger than the sum of its proper divisors (164824534543).

1020001102001 is an equidigital number, since it uses as much as digits as its factorization.

1020001102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388761431.

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

Adding to 1020001102001 its reverse (1002011000201), we get a palindrome (2022012102202).

The spelling of 1020001102001 in words is "one trillion, twenty billion, one million, one hundred two thousand, one".