1020201102001 has 4 divisors (see below), whose sum is σ = 1021359106404. Its totient is φ = 1019043097600.

The previous prime is 1020201101981. The next prime is 1020201102023. The reversal of 1020201102001 is 1002011020201.

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 61908904225 + 958292197776 = 248815^2 + 978924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020201102001 - 2³⁷ = 882762148529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020201102901) 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, 579000880 + ... + 579002641.

It is an arithmetic number, because the mean of its divisors is an integer number (255339776601).

Almost surely, 2^{1020201102001} is an apocalyptic number.

It is an amenable number.

1020201102001 is a deficient number, since it is larger than the sum of its proper divisors (1158004403).

1020201102001 is an equidigital number, since it uses as much as digits as its factorization.

1020201102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158004402.

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

Adding to 1020201102001 its reverse (1002011020201), we get a palindrome (2022212122202).

It can be divided in two parts, 102020 and 1102001, that added together give a palindrome (1204021).

The spelling of 1020201102001 in words is "one trillion, twenty billion, two hundred one million, one hundred two thousand, one".