10001020201021 has 8 divisors (see below), whose sum is σ = 10144461211200. Its totient is φ = 9857650901280.

The previous prime is 10001020200991. The next prime is 10001020201069. The reversal of 10001020201021 is 12010202010001.

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 10001020201021 - 2¹⁵ = 10001020168253 is a prime.

It is a super-2 number, since 2×10001020201021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001020200989 and 10001020201007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001020231021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17646651 + ... + 18204568.

It is an arithmetic number, because the mean of its divisors is an integer number (1268057651400).

Almost surely, 2^{10001020201021} is an apocalyptic number.

It is an amenable number.

10001020201021 is a deficient number, since it is larger than the sum of its proper divisors (143441010179).

10001020201021 is an equidigital number, since it uses as much as digits as its factorization.

10001020201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35855219.

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

Adding to 10001020201021 its reverse (12010202010001), we get a palindrome (22011222211022).

The spelling of 10001020201021 in words is "ten trillion, one billion, twenty million, two hundred one thousand, twenty-one".