1021021002001 has 16 divisors (see below), whose sum is σ = 1370881346688. Its totient is φ = 734400720000.

The previous prime is 1021021001977. The next prime is 1021021002041. The reversal of 1021021002001 is 1002001201201.

It is a cyclic number.

It is not a de Polignac number, because 1021021002001 - 2¹¹ = 1021020999953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021021002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509999500 + ... + 510001501.

It is an arithmetic number, because the mean of its divisors is an integer number (85680084168).

Almost surely, 2^{1021021002001} is an apocalyptic number.

1021021002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021021002001 is a deficient number, since it is larger than the sum of its proper divisors (349860344687).

1021021002001 is a wasteful number, since it uses less digits than its factorization.

1021021002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020001032.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021021002001 its reverse (1002001201201), we get a palindrome (2023022203202).

The spelling of 1021021002001 in words is "one trillion, twenty-one billion, twenty-one million, two thousand, one".