2120117101 has 2 divisors, whose sum is σ = 2120117102. Its totient is φ = 2120117100.

The previous prime is 2120117089. The next prime is 2120117119. The reversal of 2120117101 is 1017110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1487644900 + 632472201 = 38570^2 + 25149^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120117101 - 2¹³ = 2120108909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120117171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060058550 + 1060058551.

It is an arithmetic number, because the mean of its divisors is an integer number (1060058551).

Almost surely, 2^2120117101 is an apocalyptic number.

It is an amenable number.

2120117101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120117101 is an equidigital number, since it uses as much as digits as its factorization.

2120117101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 2120117101 is about 46044.7293509257. The cubic root of 2120117101 is about 1284.6553100524.

Adding to 2120117101 its reverse (1017110212), we get a palindrome (3137227313).

The spelling of 2120117101 in words is "two billion, one hundred twenty million, one hundred seventeen thousand, one hundred one".