10011112121357 has 2 divisors, whose sum is σ = 10011112121358. Its totient is φ = 10011112121356.

The previous prime is 10011112121299. The next prime is 10011112121383. The reversal of 10011112121357 is 75312121111001.

It is an a-pointer prime, because the next prime (10011112121383) can be obtained adding 10011112121357 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8937026544196 + 1074085577161 = 2989486^2 + 1036381^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112121357 - 2²⁴ = 10011095344141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011112121057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556060678 + 5005556060679.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556060679).

Almost surely, 2^{10011112121357} is an apocalyptic number.

It is an amenable number.

10011112121357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112121357 is an equidigital number, since it uses as much as digits as its factorization.

10011112121357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 26.

Adding to 10011112121357 its reverse (75312121111001), we get a palindrome (85323233232358).

The spelling of 10011112121357 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, three hundred fifty-seven".