2122101002011 has 8 divisors (see below), whose sum is σ = 2217788792064. Its totient is φ = 2026698422760.

The previous prime is 2122101001981. The next prime is 2122101002033. The reversal of 2122101002011 is 1102001012212.

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 2122101002011 - 2⁹ = 2122101001499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122101001982 and 2122101002000.

It is not an unprimeable number, because it can be changed into a prime (2122101002071) 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, 71287485 + ... + 71317246.

It is an arithmetic number, because the mean of its divisors is an integer number (277223599008).

Almost surely, 2^{2122101002011} is an apocalyptic number.

2122101002011 is a deficient number, since it is larger than the sum of its proper divisors (95687790053).

2122101002011 is a wasteful number, since it uses less digits than its factorization.

2122101002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142605401.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122101002011 its reverse (1102001012212), we get a palindrome (3224102014223).

The spelling of 2122101002011 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two thousand, eleven".