2121112102011 has 32 divisors (see below), whose sum is σ = 3239720064000. Its totient is φ = 1209236413440.

The previous prime is 2121112101907. The next prime is 2121112102079. The reversal of 2121112102011 is 1102012111212.

It is a happy number.

It is not a de Polignac number, because 2121112102011 - 2¹⁸ = 2121111839867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121112102111) 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, 15454015 + ... + 15590663.

It is an arithmetic number, because the mean of its divisors is an integer number (101241252000).

Almost surely, 2^{2121112102011} is an apocalyptic number.

2121112102011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2121112102011 is a deficient number, since it is larger than the sum of its proper divisors (1118607961989).

2121112102011 is a wasteful number, since it uses less digits than its factorization.

2121112102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138379.

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

Adding to 2121112102011 its reverse (1102012111212), we get a palindrome (3223124213223).

The spelling of 2121112102011 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred two thousand, eleven".