2101113322101 has 24 divisors (see below), whose sum is σ = 3066219252096. Its totient is φ = 1386322400160.

The previous prime is 2101113322081. The next prime is 2101113322103. The reversal of 2101113322101 is 1012233111012.

2101113322101 is a `hidden beast` number, since 2 + 10 + 111 + 332 + 210 + 1 = 666.

It is not a de Polignac number, because 2101113322101 - 2⁶ = 2101113322037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101113322103) 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 23 ways as a sum of consecutive naturals, for example, 900016 + ... + 2238806.

It is an arithmetic number, because the mean of its divisors is an integer number (127759135504).

Almost surely, 2^{2101113322101} is an apocalyptic number.

It is an amenable number.

2101113322101 is a deficient number, since it is larger than the sum of its proper divisors (965105929995).

2101113322101 is a wasteful number, since it uses less digits than its factorization.

2101113322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340593 (or 1340590 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2101113322101 its reverse (1012233111012), we get a palindrome (3113346433113).

The spelling of 2101113322101 in words is "two trillion, one hundred one billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred one".