2122102101101 has 8 divisors (see below), whose sum is σ = 2139875380224. Its totient is φ = 2104345444320.

The previous prime is 2122102101061. The next prime is 2122102101121. The reversal of 2122102101101 is 1011012012212.

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 2122102101101 - 2¹⁴ = 2122102084717 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 (2122102101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3899120 + ... + 4409913.

It is an arithmetic number, because the mean of its divisors is an integer number (267484422528).

Almost surely, 2^{2122102101101} is an apocalyptic number.

It is an amenable number.

2122102101101 is a deficient number, since it is larger than the sum of its proper divisors (17773279123).

2122102101101 is a wasteful number, since it uses less digits than its factorization.

2122102101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311171.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2122102101101 its reverse (1011012012212), we get a palindrome (3133114113313).

The spelling of 2122102101101 in words is "two trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred one".