1020101001001 has 4 divisors (see below), whose sum is σ = 1020185312004. Its totient is φ = 1020016690000.

The previous prime is 1020101000977. The next prime is 1020101001013. The reversal of 1020101001001 is 1001001010201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 894376861225 + 125724139776 = 945715^2 + 354576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020101001001 - 2¹⁷ = 1020100869929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020101007001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42137350 + ... + 42161551.

It is an arithmetic number, because the mean of its divisors is an integer number (255046328001).

Almost surely, 2^{1020101001001} is an apocalyptic number.

It is an amenable number.

1020101001001 is a deficient number, since it is larger than the sum of its proper divisors (84311003).

1020101001001 is an equidigital number, since it uses as much as digits as its factorization.

1020101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84311002.

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

Adding to 1020101001001 its reverse (1001001010201), we get a palindrome (2021102011202).

It can be divided in two parts, 102010 and 1001001, that added together give a palindrome (1103011).

The spelling of 1020101001001 in words is "one trillion, twenty billion, one hundred one million, one thousand, one".