2122101011013 has 16 divisors (see below), whose sum is σ = 2933276576256. Its totient is φ = 1363221457920.

The previous prime is 2122101010987. The next prime is 2122101011021. The reversal of 2122101011013 is 3101101012212.

It is not a de Polignac number, because 2122101011013 - 2⁹ = 2122101010501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122101010983 and 2122101011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122101011053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48944620 + ... + 48987957.

It is an arithmetic number, because the mean of its divisors is an integer number (183329786016).

Almost surely, 2^{2122101011013} is an apocalyptic number.

It is an amenable number.

2122101011013 is a deficient number, since it is larger than the sum of its proper divisors (811175565243).

2122101011013 is a wasteful number, since it uses less digits than its factorization.

2122101011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97932844.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2122101011013 its reverse (3101101012212), we get a palindrome (5223202023225).

The spelling of 2122101011013 in words is "two trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, thirteen".