2121100101101 has 8 divisors (see below), whose sum is σ = 2124213811200. Its totient is φ = 2117986642800.

The previous prime is 2121100101091. The next prime is 2121100101149. The reversal of 2121100101101 is 1011010011212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2121100101101 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 (2121100101161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22889780 + ... + 22982258.

It is an arithmetic number, because the mean of its divisors is an integer number (265526726400).

Almost surely, 2^{2121100101101} is an apocalyptic number.

It is an amenable number.

2121100101101 is a deficient number, since it is larger than the sum of its proper divisors (3113710099).

2121100101101 is an equidigital number, since it uses as much as digits as its factorization.

2121100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125899.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2121100101101 its reverse (1011010011212), we get a palindrome (3132110112313).

The spelling of 2121100101101 in words is "two trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, one hundred one".