2002000002101 has 8 divisors (see below), whose sum is σ = 2184170236608. Its totient is φ = 1819858140000.

The previous prime is 2002000002091. The next prime is 2002000002103. The reversal of 2002000002101 is 1012000002002.

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 2002000002101 - 2³⁴ = 1984820132917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000002103) 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, 6945425 + ... + 7227926.

It is an arithmetic number, because the mean of its divisors is an integer number (273021279576).

Almost surely, 2^{2002000002101} is an apocalyptic number.

It is an amenable number.

2002000002101 is a deficient number, since it is larger than the sum of its proper divisors (182170234507).

2002000002101 is a wasteful number, since it uses less digits than its factorization.

2002000002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14186203.

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

Adding to 2002000002101 its reverse (1012000002002), we get a palindrome (3014000004103).

Subtracting from 2002000002101 its reverse (1012000002002), we obtain a palindrome (990000000099).

The spelling of 2002000002101 in words is "two trillion, two billion, two thousand, one hundred one".