10135222253101 has 12 divisors (see below), whose sum is σ = 11140494321600. Its totient is φ = 9213734152040.

The previous prime is 10135222253053. The next prime is 10135222253179.

10135222253101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10135222253101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10135222253101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135222253701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11510730 + ... + 12359908.

It is an arithmetic number, because the mean of its divisors is an integer number (928374526800).

Almost surely, 2^{10135222253101} is an apocalyptic number.

10135222253101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10135222253101 is a deficient number, since it is larger than the sum of its proper divisors (1005272068499).

10135222253101 is an equidigital number, since it uses as much as digits as its factorization.

10135222253101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947840 (or 947829 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 1013522 and 2253101, that added together give a palindrome (3266623).

The spelling of 10135222253101 in words is "ten trillion, one hundred thirty-five billion, two hundred twenty-two million, two hundred fifty-three thousand, one hundred one".