2120100101101 has 12 divisors (see below), whose sum is σ = 2256310959700. Its totient is φ = 1991699850240.

The previous prime is 2120100101099. The next prime is 2120100101117. The reversal of 2120100101101 is 1011010010212.

It can be written as a sum of positive squares in 6 ways, for example, as 74871187876 + 2045228913225 = 273626^2 + 1430115^2 .

It is not a de Polignac number, because 2120100101101 - 2¹ = 2120100101099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120100101501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6623676 + ... + 6936373.

Almost surely, 2^{2120100101101} is an apocalyptic number.

It is an amenable number.

2120100101101 is a deficient number, since it is larger than the sum of its proper divisors (136210858599).

2120100101101 is a wasteful number, since it uses less digits than its factorization.

2120100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13560624 (or 13560607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2120100101101 its reverse (1011010010212), we get a palindrome (3131110111313).

The spelling of 2120100101101 in words is "two trillion, one hundred twenty billion, one hundred million, one hundred one thousand, one hundred one".