2121002100101 has 8 divisors (see below), whose sum is σ = 2239067899680. Its totient is φ = 2003579711568.

The previous prime is 2121002100059. The next prime is 2121002100109. The reversal of 2121002100101 is 1010012001212.

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 2121002100101 - 2¹⁰ = 2121002099077 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 (2121002100109) 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 7 ways as a sum of consecutive naturals, for example, 160845986 + ... + 160859171.

It is an arithmetic number, because the mean of its divisors is an integer number (279883487460).

Almost surely, 2^{2121002100101} is an apocalyptic number.

It is an amenable number.

2121002100101 is a deficient number, since it is larger than the sum of its proper divisors (118065799579).

2121002100101 is a wasteful number, since it uses less digits than its factorization.

2121002100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321705523.

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

Adding to 2121002100101 its reverse (1010012001212), we get a palindrome (3131014101313).

The spelling of 2121002100101 in words is "two trillion, one hundred twenty-one billion, two million, one hundred thousand, one hundred one".