2121102101211 has 16 divisors (see below), whose sum is σ = 2844065779200. Its totient is φ = 1406103968288.

The previous prime is 2121102101179. The next prime is 2121102101213. The reversal of 2121102101211 is 1121012011212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2121102101211 - 2⁵ = 2121102101179 is a prime.

It is a super-3 number, since 3×2121102101211³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121102101213) 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, 13599310 + ... + 13754396.

It is an arithmetic number, because the mean of its divisors is an integer number (177754111200).

Almost surely, 2^{2121102101211} is an apocalyptic number.

2121102101211 is a deficient number, since it is larger than the sum of its proper divisors (722963677989).

2121102101211 is a wasteful number, since it uses less digits than its factorization.

2121102101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180738.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121102101211 its reverse (1121012011212), we get a palindrome (3242114112423).

The spelling of 2121102101211 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, two hundred eleven".