2120101000181 has 2 divisors, whose sum is σ = 2120101000182. Its totient is φ = 2120101000180.

The previous prime is 2120101000169. The next prime is 2120101000219. The reversal of 2120101000181 is 1810001010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2119149832900 + 951167281 = 1455730^2 + 30841^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120101000181 - 2⁶ = 2120101000117 is a prime.

It is a super-2 number, since 2×2120101000181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120101000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060050500090 + 1060050500091.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050500091).

Almost surely, 2^{2120101000181} is an apocalyptic number.

It is an amenable number.

2120101000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120101000181 is an equidigital number, since it uses as much as digits as its factorization.

2120101000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2120101000181 its reverse (1810001010212), we get a palindrome (3930102010393).

The spelling of 2120101000181 in words is "two trillion, one hundred twenty billion, one hundred one million, one hundred eighty-one", and thus it is an aban number.