8013201021 has 32 divisors (see below), whose sum is σ = 13753201920. Its totient is φ = 4516238592.

The previous prime is 8013201019. The next prime is 8013201023. The reversal of 8013201021 is 1201023108.

It is an interprime number because it is at equal distance from previous prime (8013201019) and next prime (8013201023).

It is not a de Polignac number, because 8013201021 - 2¹ = 8013201019 is a prime.

It is a super-2 number, since 2×8013201021² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8013200985 and 8013201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013201023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276600 + ... + 304193.

It is an arithmetic number, because the mean of its divisors is an integer number (429787560).

Almost surely, 2^8013201021 is an apocalyptic number.

It is an amenable number.

8013201021 is a deficient number, since it is larger than the sum of its proper divisors (5740000899).

8013201021 is a wasteful number, since it uses less digits than its factorization.

8013201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580882 (or 580876 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8013201021 is about 89516.4846327200. The cubic root of 8013201021 is about 2001.0994805438.

Adding to 8013201021 its reverse (1201023108), we get a palindrome (9214224129).

The spelling of 8013201021 in words is "eight billion, thirteen million, two hundred one thousand, twenty-one".