2012121002101 has 16 divisors (see below), whose sum is σ = 2305037056000. Its totient is φ = 1720575969840.

The previous prime is 2012121002093. The next prime is 2012121002173. The reversal of 2012121002101 is 1012001212102.

It is not a de Polignac number, because 2012121002101 - 2³ = 2012121002093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012121005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6867400 + ... + 7154398.

It is an arithmetic number, because the mean of its divisors is an integer number (144064816000).

Almost surely, 2^{2012121002101} is an apocalyptic number.

It is an amenable number.

2012121002101 is a deficient number, since it is larger than the sum of its proper divisors (292916053899).

2012121002101 is a wasteful number, since it uses less digits than its factorization.

2012121002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289384.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2012121002101 its reverse (1012001212102), we get a palindrome (3024122214203).

The spelling of 2012121002101 in words is "two trillion, twelve billion, one hundred twenty-one million, two thousand, one hundred one".