2553013242101 has 32 divisors (see below), whose sum is σ = 3071216590848. Its totient is φ = 2076679244160.

The previous prime is 2553013242083. The next prime is 2553013242119. The reversal of 2553013242101 is 1012423103552.

2553013242101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2553013242083) and next prime (2553013242119).

It is a cyclic number.

It is not a de Polignac number, because 2553013242101 - 2²⁶ = 2552946133237 is a prime.

It is a super-2 number, since 2×2553013242101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553013242601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618136 + ... + 2779278.

It is an arithmetic number, because the mean of its divisors is an integer number (95975518464).

Almost surely, 2^{2553013242101} is an apocalyptic number.

It is an amenable number.

2553013242101 is a deficient number, since it is larger than the sum of its proper divisors (518203348747).

2553013242101 is a wasteful number, since it uses less digits than its factorization.

2553013242101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161401.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 2553013242101 its reverse (1012423103552), we get a palindrome (3565436345653).

The spelling of 2553013242101 in words is "two trillion, five hundred fifty-three billion, thirteen million, two hundred forty-two thousand, one hundred one".