2120100101 has 12 divisors (see below), whose sum is σ = 2468113452. Its totient is φ = 1815847488.

The previous prime is 2120100077. The next prime is 2120100109. The reversal of 2120100101 is 1010010212.

It can be written as a sum of positive squares in 2 ways, for example, as 987844900 + 1132255201 = 31430^2 + 33649^2 .

It is not a de Polignac number, because 2120100101 - 2¹⁴ = 2120083717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120100109) 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, 51521 + ... + 83033.

It is an arithmetic number, because the mean of its divisors is an integer number (205676121).

Almost surely, 2^2120100101 is an apocalyptic number.

It is an amenable number.

2120100101 is a deficient number, since it is larger than the sum of its proper divisors (348013351).

2120100101 is a wasteful number, since it uses less digits than its factorization.

2120100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32900 (or 32893 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2120100101 is about 46044.5447474508. The cubic root of 2120100101 is about 1284.6518764058.

Adding to 2120100101 its reverse (1010010212), we get a palindrome (3130110313).

The spelling of 2120100101 in words is "two billion, one hundred twenty million, one hundred thousand, one hundred one".