10112101120157 has 2 divisors, whose sum is σ = 10112101120158. Its totient is φ = 10112101120156.

The previous prime is 10112101120153. The next prime is 10112101120259. The reversal of 10112101120157 is 75102110121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6062753854756 + 4049347265401 = 2462266^2 + 2012299^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112101120157 - 2² = 10112101120153 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112101120153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056050560078 + 5056050560079.

It is an arithmetic number, because the mean of its divisors is an integer number (5056050560079).

Almost surely, 2^{10112101120157} is an apocalyptic number.

It is an amenable number.

10112101120157 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112101120157 is an equidigital number, since it uses as much as digits as its factorization.

10112101120157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 23.

Adding to 10112101120157 its reverse (75102110121101), we get a palindrome (85214211241258).

The spelling of 10112101120157 in words is "ten trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand, one hundred fifty-seven".