100111112001253 has 2 divisors, whose sum is σ = 100111112001254. Its totient is φ = 100111112001252.

The previous prime is 100111112001209. The next prime is 100111112001269. The reversal of 100111112001253 is 352100211111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79108341238369 + 21002770762884 = 8894287^2 + 4582878^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111112001253 - 2⁹ = 100111112000741 is a prime.

It is a super-2 number, since 2×100111112001253² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111112001253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111112001283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055556000626 + 50055556000627.

It is an arithmetic number, because the mean of its divisors is an integer number (50055556000627).

Almost surely, 2^{100111112001253} is an apocalyptic number.

It is an amenable number.

100111112001253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111112001253 is an equidigital number, since it uses as much as digits as its factorization.

100111112001253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 100111112001253 its reverse (352100211111001), we get a palindrome (452211323112254).

The spelling of 100111112001253 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, one thousand, two hundred fifty-three".