1020201020001 has 96 divisors (see below), whose sum is σ = 1615301775360. Its totient is φ = 642161520000.

The previous prime is 1020201019979. The next prime is 1020201020011. The reversal of 1020201020001 is 1000201020201.

It is not a de Polignac number, because 1020201020001 - 2¹⁵ = 1020200987233 is a prime.

It is a super-2 number, since 2×1020201020001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020201020011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373561806 + ... + 373564536.

It is an arithmetic number, because the mean of its divisors is an integer number (16826060160).

Almost surely, 2^{1020201020001} is an apocalyptic number.

It is an amenable number.

1020201020001 is a deficient number, since it is larger than the sum of its proper divisors (595100755359).

1020201020001 is an equidigital number, since it uses as much as digits as its factorization.

1020201020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020201020001 its reverse (1000201020201), we get a palindrome (2020402040202).

The spelling of 1020201020001 in words is "one trillion, twenty billion, two hundred one million, twenty thousand, one".