2120202100117 has 2 divisors, whose sum is σ = 2120202100118. Its totient is φ = 2120202100116.

The previous prime is 2120202100111. The next prime is 2120202100147. The reversal of 2120202100117 is 7110012020212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1971199152036 + 149002948081 = 1403994^2 + 386009^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120202100117 - 2³⁹ = 1570446286229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120202100094 and 2120202100103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120202100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060101050058 + 1060101050059.

It is an arithmetic number, because the mean of its divisors is an integer number (1060101050059).

Almost surely, 2^{2120202100117} is an apocalyptic number.

It is an amenable number.

2120202100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120202100117 is an equidigital number, since it uses as much as digits as its factorization.

2120202100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 2120202100117 its reverse (7110012020212), we get a palindrome (9230214120329).

The spelling of 2120202100117 in words is "two trillion, one hundred twenty billion, two hundred two million, one hundred thousand, one hundred seventeen".