1020001000091 has 8 divisors (see below), whose sum is σ = 1058566298400. Its totient is φ = 981661891840.

The previous prime is 1020001000043. The next prime is 1020001000121. The reversal of 1020001000091 is 1900001000201.

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

It is a cyclic number.

It is not a de Polignac number, because 1020001000091 - 2¹⁰ = 1020000999067 is a prime.

It is a super-3 number, since 3×1020001000091³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020001300091) 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, 56538326 + ... + 56556363.

It is an arithmetic number, because the mean of its divisors is an integer number (132320787300).

Almost surely, 2^{1020001000091} is an apocalyptic number.

1020001000091 is a deficient number, since it is larger than the sum of its proper divisors (38565298309).

1020001000091 is a wasteful number, since it uses less digits than its factorization.

1020001000091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113095029.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1020001000091 its reverse (1900001000201), we get a palindrome (2920002000292).

The spelling of 1020001000091 in words is "one trillion, twenty billion, one million, ninety-one", and thus it is an aban number and an uban number.