2121002101101 has 16 divisors (see below), whose sum is σ = 3074004489024. Its totient is φ = 1293033629184.

The previous prime is 2121002101087. The next prime is 2121002101117. The reversal of 2121002101101 is 1011012001212.

It is not a de Polignac number, because 2121002101101 - 2⁵ = 2121002101069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121002101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254129796 + ... + 254138141.

It is an arithmetic number, because the mean of its divisors is an integer number (192125280564).

Almost surely, 2^{2121002101101} is an apocalyptic number.

It is an amenable number.

2121002101101 is a deficient number, since it is larger than the sum of its proper divisors (953002387923).

2121002101101 is a wasteful number, since it uses less digits than its factorization.

2121002101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508268060.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121002101101 its reverse (1011012001212), we get a palindrome (3132014102313).

The spelling of 2121002101101 in words is "two trillion, one hundred twenty-one billion, two million, one hundred one thousand, one hundred one".