2002331220021 has 72 divisors (see below), whose sum is σ = 3367847934360. Its totient is φ = 1141555599360.

The previous prime is 2002331219981. The next prime is 2002331220067. The reversal of 2002331220021 is 1200221332002.

2002331220021 is a `hidden beast` number, since 200 + 233 + 12 + 200 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1217246617521 + 785084602500 = 1103289^2 + 886050^2 .

It is not a de Polignac number, because 2002331220021 - 2¹⁵ = 2002331187253 is a prime.

It is a super-2 number, since 2×2002331220021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002331219976 and 2002331220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002331220221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36869275 + ... + 36923543.

It is an arithmetic number, because the mean of its divisors is an integer number (46775665755).

Almost surely, 2^{2002331220021} is an apocalyptic number.

It is an amenable number.

2002331220021 is a deficient number, since it is larger than the sum of its proper divisors (1365516714339).

2002331220021 is a wasteful number, since it uses less digits than its factorization.

2002331220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56307 (or 56293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002331220021 its reverse (1200221332002), we get a palindrome (3202552552023).

The spelling of 2002331220021 in words is "two trillion, two billion, three hundred thirty-one million, two hundred twenty thousand, twenty-one".