2002011101021 has 8 divisors (see below), whose sum is σ = 2030241118464. Its totient is φ = 1973781991440.

The previous prime is 2002011100961. The next prime is 2002011101033. The reversal of 2002011101021 is 1201011102002.

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 2002011101021 - 2³⁴ = 1984831231837 is a prime.

It is a super-2 number, since 2×2002011101021² (a number of 25 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 = 2002011100993 and 2002011101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5084591 + ... + 5464163.

It is an arithmetic number, because the mean of its divisors is an integer number (253780139808).

Almost surely, 2^{2002011101021} is an apocalyptic number.

It is an amenable number.

2002011101021 is a deficient number, since it is larger than the sum of its proper divisors (28230017443).

2002011101021 is an equidigital number, since it uses as much as digits as its factorization.

2002011101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453931.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2002011101021 its reverse (1201011102002), we get a palindrome (3203022203023).

The spelling of 2002011101021 in words is "two trillion, two billion, eleven million, one hundred one thousand, twenty-one".