2002000101021 has 24 divisors (see below), whose sum is σ = 2914886267904. Its totient is φ = 1324003786560.

The previous prime is 2002000100999. The next prime is 2002000101029. The reversal of 2002000101021 is 1201010002002.

It is not a de Polignac number, because 2002000101021 - 2⁹ = 2002000100509 is a prime.

It is a super-3 number, since 3×2002000101021³ (a number of 38 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002000100994 and 2002000101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000101029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10202385 + ... + 10396761.

It is an arithmetic number, because the mean of its divisors is an integer number (121453594496).

Almost surely, 2^{2002000101021} is an apocalyptic number.

It is an amenable number.

2002000101021 is a deficient number, since it is larger than the sum of its proper divisors (912886166883).

2002000101021 is a wasteful number, since it uses less digits than its factorization.

2002000101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203521 (or 203518 counting only the distinct ones).

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

Adding to 2002000101021 its reverse (1201010002002), we get a palindrome (3203010103023).

The spelling of 2002000101021 in words is "two trillion, two billion, one hundred one thousand, twenty-one".