2102121111011 has 8 divisors (see below), whose sum is σ = 2116091057184. Its totient is φ = 2088151804800.

The previous prime is 2102121110987. The next prime is 2102121111029. The reversal of 2102121111011 is 1101111212012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2102121111011 - 2³⁴ = 2084941241827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102121111611) 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 7 ways as a sum of consecutive naturals, for example, 7713995 + ... + 7981851.

It is an arithmetic number, because the mean of its divisors is an integer number (264511382148).

Almost surely, 2^{2102121111011} is an apocalyptic number.

2102121111011 is a deficient number, since it is larger than the sum of its proper divisors (13969946173).

2102121111011 is a wasteful number, since it uses less digits than its factorization.

2102121111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319981.

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

Adding to 2102121111011 its reverse (1101111212012), we get a palindrome (3203232323023).

The spelling of 2102121111011 in words is "two trillion, one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, eleven".