120000101012161 has 2 divisors, whose sum is σ = 120000101012162. Its totient is φ = 120000101012160.

The previous prime is 120000101012017. The next prime is 120000101012171. The reversal of 120000101012161 is 161210101000021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101195250372225 + 18804850639936 = 10059585^2 + 4336456^2 .

It is an emirp because it is prime and its reverse (161210101000021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120000101012161 - 2¹³ = 120000101003969 is a prime.

It is a super-3 number, since 3×120000101012161³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (120000101012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60000050506080 + 60000050506081.

It is an arithmetic number, because the mean of its divisors is an integer number (60000050506081).

Almost surely, 2^{120000101012161} is an apocalyptic number.

It is an amenable number.

120000101012161 is a deficient number, since it is larger than the sum of its proper divisors (1).

120000101012161 is an equidigital number, since it uses as much as digits as its factorization.

120000101012161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 120000101012161 its reverse (161210101000021), we get a palindrome (281210202012182).

The spelling of 120000101012161 in words is "one hundred twenty trillion, one hundred one million, twelve thousand, one hundred sixty-one".