2002121001101 has 12 divisors (see below), whose sum is σ = 2181277682208. Its totient is φ = 1836773559504.

The previous prime is 2002121001019. The next prime is 2002121001103. The reversal of 2002121001101 is 1011001212002.

It is not a de Polignac number, because 2002121001101 - 2³⁴ = 1984941131917 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 (2002121001103) 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 11 ways as a sum of consecutive naturals, for example, 36312545 + ... + 36367638.

It is an arithmetic number, because the mean of its divisors is an integer number (181773140184).

Almost surely, 2^{2002121001101} is an apocalyptic number.

It is an amenable number.

2002121001101 is a deficient number, since it is larger than the sum of its proper divisors (179156681107).

2002121001101 is a wasteful number, since it uses less digits than its factorization.

2002121001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72680372 (or 72680359 counting only the distinct ones).

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

Adding to 2002121001101 its reverse (1011001212002), we get a palindrome (3013122213103).

The spelling of 2002121001101 in words is "two trillion, two billion, one hundred twenty-one million, one thousand, one hundred one".