2121211111101 has 32 divisors (see below), whose sum is σ = 2907496944000. Its totient is φ = 1375068794880.

The previous prime is 2121211111093. The next prime is 2121211111157. The reversal of 2121211111101 is 1011111121212.

It is not a de Polignac number, because 2121211111101 - 2³ = 2121211111093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121211111181) 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 31 ways as a sum of consecutive naturals, for example, 124570750 + ... + 124587776.

It is an arithmetic number, because the mean of its divisors is an integer number (90859279500).

Almost surely, 2^{2121211111101} is an apocalyptic number.

It is an amenable number.

2121211111101 is a deficient number, since it is larger than the sum of its proper divisors (786285832899).

2121211111101 is a wasteful number, since it uses less digits than its factorization.

2121211111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24829.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2121211111101 its reverse (1011111121212), we get a palindrome (3132322232313).

The spelling of 2121211111101 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred one".