101553345342233 has 2 divisors, whose sum is σ = 101553345342234. Its totient is φ = 101553345342232.

The previous prime is 101553345342209. The next prime is 101553345342259. The reversal of 101553345342233 is 332243543355101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92712017749264 + 8841327592969 = 9628708^2 + 2973437^2 .

It is a cyclic number.

It is not a de Polignac number, because 101553345342233 - 2¹⁰ = 101553345341209 is a prime.

It is not a weakly prime, because it can be changed into another prime (101553345342263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50776672671116 + 50776672671117.

It is an arithmetic number, because the mean of its divisors is an integer number (50776672671117).

Almost surely, 2^{101553345342233} is an apocalyptic number.

It is an amenable number.

101553345342233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101553345342233 is an equidigital number, since it uses as much as digits as its factorization.

101553345342233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944000, while the sum is 44.

Adding to 101553345342233 its reverse (332243543355101), we get a palindrome (433796888697334).

The spelling of 101553345342233 in words is "one hundred one trillion, five hundred fifty-three billion, three hundred forty-five million, three hundred forty-two thousand, two hundred thirty-three".