2121132213101 has 16 divisors (see below), whose sum is σ = 2335802531328. Its totient is φ = 1910105223600.

The previous prime is 2121132213097. The next prime is 2121132213139. The reversal of 2121132213101 is 1013122311212.

It is a cyclic number.

It is not a de Polignac number, because 2121132213101 - 2² = 2121132213097 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 (2121132213181) 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, 13730576 + ... + 13884198.

It is an arithmetic number, because the mean of its divisors is an integer number (145987658208).

Almost surely, 2^{2121132213101} is an apocalyptic number.

It is an amenable number.

2121132213101 is a deficient number, since it is larger than the sum of its proper divisors (214670318227).

2121132213101 is a wasteful number, since it uses less digits than its factorization.

2121132213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165472.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2121132213101 its reverse (1013122311212), we get a palindrome (3134254524313).

The spelling of 2121132213101 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred one".