2121102111011 has 16 divisors (see below), whose sum is σ = 2295478995264. Its totient is φ = 1948345709184.

The previous prime is 2121102110951. The next prime is 2121102111013. The reversal of 2121102111011 is 1101112011212.

It is a cyclic number.

It is not a de Polignac number, because 2121102111011 - 2⁶ = 2121102110947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121102111013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402570 + ... + 3164576.

It is an arithmetic number, because the mean of its divisors is an integer number (143467437204).

Almost surely, 2^{2121102111011} is an apocalyptic number.

2121102111011 is a deficient number, since it is larger than the sum of its proper divisors (174376884253).

2121102111011 is a wasteful number, since it uses less digits than its factorization.

2121102111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763070.

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

Adding to 2121102111011 its reverse (1101112011212), we get a palindrome (3222214122223).

The spelling of 2121102111011 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred eleven thousand, eleven".