1020001101001 has 4 divisors (see below), whose sum is σ = 1020041222400. Its totient is φ = 1019960979604.

The previous prime is 1020001100983. The next prime is 1020001101023. The reversal of 1020001101001 is 1001011000201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1020001101001 - 2³¹ = 1017853617353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020001101601) 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 3 ways as a sum of consecutive naturals, for example, 20022541 + ... + 20073418.

It is an arithmetic number, because the mean of its divisors is an integer number (255010305600).

Almost surely, 2^{1020001101001} is an apocalyptic number.

It is an amenable number.

1020001101001 is a deficient number, since it is larger than the sum of its proper divisors (40121399).

1020001101001 is an equidigital number, since it uses as much as digits as its factorization.

1020001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40121398.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1020001101001 its reverse (1001011000201), we get a palindrome (2021012101202).

The spelling of 1020001101001 in words is "one trillion, twenty billion, one million, one hundred one thousand, one".