121112121100153 has 2 divisors, whose sum is σ = 121112121100154. Its totient is φ = 121112121100152.

The previous prime is 121112121100073. The next prime is 121112121100177. The reversal of 121112121100153 is 351001121211121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76746570502144 + 44365550598009 = 8760512^2 + 6660747^2 .

It is a cyclic number.

It is not a de Polignac number, because 121112121100153 - 2²⁹ = 121111584229241 is a prime.

It is not a weakly prime, because it can be changed into another prime (121112121103153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556060550076 + 60556060550077.

It is an arithmetic number, because the mean of its divisors is an integer number (60556060550077).

Almost surely, 2^{121112121100153} is an apocalyptic number.

It is an amenable number.

121112121100153 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112121100153 is an equidigital number, since it uses as much as digits as its factorization.

121112121100153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 22.

Adding to 121112121100153 its reverse (351001121211121), we get a palindrome (472113242311274).

The spelling of 121112121100153 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred thousand, one hundred fifty-three".