2121102220011 has 32 divisors (see below), whose sum is σ = 2882087090688. Its totient is φ = 1387399104000.

The previous prime is 2121102220009. The next prime is 2121102220033. The reversal of 2121102220011 is 1100222011212.

It is not a de Polignac number, because 2121102220011 - 2¹ = 2121102220009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121102620011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16771011 + ... + 16897011.

It is an arithmetic number, because the mean of its divisors is an integer number (90065221584).

Almost surely, 2^{2121102220011} is an apocalyptic number.

2121102220011 is a deficient number, since it is larger than the sum of its proper divisors (760984870677).

2121102220011 is a wasteful number, since it uses less digits than its factorization.

2121102220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126611.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121102220011 its reverse (1100222011212), we get a palindrome (3221324231223).

The spelling of 2121102220011 in words is "two trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty thousand, eleven".