101111122000253 has 2 divisors, whose sum is σ = 101111122000254. Its totient is φ = 101111122000252.

The previous prime is 101111122000043. The next prime is 101111122000271. The reversal of 101111122000253 is 352000221111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100798929377689 + 312192622564 = 10039867^2 + 558742^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111122000253 - 2¹⁰ = 101111121999229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111122000753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555561000126 + 50555561000127.

It is an arithmetic number, because the mean of its divisors is an integer number (50555561000127).

Almost surely, 2^{101111122000253} is an apocalyptic number.

It is an amenable number.

101111122000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111122000253 is an equidigital number, since it uses as much as digits as its factorization.

101111122000253 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 20.

Adding to 101111122000253 its reverse (352000221111101), we get a palindrome (453111343111354).

The spelling of 101111122000253 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, two hundred fifty-three", and thus it is an aban number.