2002100212101 has 16 divisors (see below), whose sum is σ = 2915616775680. Its totient is φ = 1211947812720.

The previous prime is 2002100212067. The next prime is 2002100212103. The reversal of 2002100212101 is 1012120012002.

It is not a de Polignac number, because 2002100212101 - 2¹⁵ = 2002100179333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100212103) 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 15 ways as a sum of consecutive naturals, for example, 36128275 + ... + 36183648.

It is an arithmetic number, because the mean of its divisors is an integer number (182226048480).

Almost surely, 2^{2002100212101} is an apocalyptic number.

It is an amenable number.

2002100212101 is a deficient number, since it is larger than the sum of its proper divisors (913516563579).

2002100212101 is a wasteful number, since it uses less digits than its factorization.

2002100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72312776.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002100212101 its reverse (1012120012002), we get a palindrome (3014220224103).

The spelling of 2002100212101 in words is "two trillion, two billion, one hundred million, two hundred twelve thousand, one hundred one".