2122010110101 has 16 divisors (see below), whose sum is σ = 3233559947904. Its totient is φ = 1212569431104.

The previous prime is 2122010110081. The next prime is 2122010110123. The reversal of 2122010110101 is 1010110102212.

It is not a de Polignac number, because 2122010110101 - 2⁶ = 2122010110037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122010110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5299531 + ... + 5685863.

It is an arithmetic number, because the mean of its divisors is an integer number (202097496744).

Almost surely, 2^{2122010110101} is an apocalyptic number.

2122010110101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122010110101 is a deficient number, since it is larger than the sum of its proper divisors (1111549837803).

2122010110101 is a wasteful number, since it uses less digits than its factorization.

2122010110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647900.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2122010110101 its reverse (1010110102212), we get a palindrome (3132120212313).

The spelling of 2122010110101 in words is "two trillion, one hundred twenty-two billion, ten million, one hundred ten thousand, one hundred one".