10101348261 has 6 divisors (see below), whose sum is σ = 14590836390. Its totient is φ = 6734232168.

The previous prime is 10101348251. The next prime is 10101348289. The reversal of 10101348261 is 16284310101.

It is a happy number.

10101348261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9666625761 + 434722500 = 98319^2 + 20850^2 .

It is not a de Polignac number, because 10101348261 - 2¹⁰ = 10101347237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101348221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561186006 + ... + 561186023.

It is an arithmetic number, because the mean of its divisors is an integer number (2431806065).

Almost surely, 2^10101348261 is an apocalyptic number.

It is an amenable number.

10101348261 is a deficient number, since it is larger than the sum of its proper divisors (4489488129).

10101348261 is a wasteful number, since it uses less digits than its factorization.

10101348261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122372035 (or 1122372032 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10101348261 its reverse (16284310101), we get a palindrome (26385658362).

The spelling of 10101348261 in words is "ten billion, one hundred one million, three hundred forty-eight thousand, two hundred sixty-one".