2121102011111 has 32 divisors (see below), whose sum is σ = 2244283070400. Its totient is φ = 2001810764800.

The previous prime is 2121102011101. The next prime is 2121102011131. The reversal of 2121102011111 is 1111102011212.

It is a cyclic number.

It is not a de Polignac number, because 2121102011111 - 2¹⁴ = 2121101994727 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 (2121102011101) 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, 502986275 + ... + 502990491.

It is an arithmetic number, because the mean of its divisors is an integer number (70133845950).

Almost surely, 2^{2121102011111} is an apocalyptic number.

2121102011111 is a deficient number, since it is larger than the sum of its proper divisors (123181059289).

2121102011111 is a wasteful number, since it uses less digits than its factorization.

2121102011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2121102011111 its reverse (1111102011212), we get a palindrome (3232204022323).

The spelling of 2121102011111 in words is "two trillion, one hundred twenty-one billion, one hundred two million, eleven thousand, one hundred eleven".