1001020010001 has 16 divisors (see below), whose sum is σ = 1456080649920. Its totient is φ = 606657317120.

The previous prime is 1001020009987. The next prime is 1001020010009. The reversal of 1001020010001 is 1000100201001.

It is a cyclic number.

It is not a de Polignac number, because 1001020010001 - 2¹⁰ = 1001020008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001020010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435685 + ... + 1480493.

It is an arithmetic number, because the mean of its divisors is an integer number (91005040620).

Almost surely, 2^{1001020010001} is an apocalyptic number.

1001020010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001020010001 is a deficient number, since it is larger than the sum of its proper divisors (455060639919).

1001020010001 is a wasteful number, since it uses less digits than its factorization.

1001020010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073856.

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

Adding to 1001020010001 its reverse (1000100201001), we get a palindrome (2001120211002).

The spelling of 1001020010001 in words is "one trillion, one billion, twenty million, ten thousand, one".