101013242310101 has 12 divisors (see below), whose sum is σ = 111211037740236. Its totient is φ = 91681386793920.

The previous prime is 101013242310083. The next prime is 101013242310181.

101013242310101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 23095088890225 + 77918153419876 = 4805735^2 + 8827126^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101013242310101 is a prime.

It is a super-2 number, since 2×101013242310101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013242310181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676440890 + ... + 676590203.

It is an arithmetic number, because the mean of its divisors is an integer number (9267586478353).

Almost surely, 2^{101013242310101} is an apocalyptic number.

101013242310101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101013242310101 is a deficient number, since it is larger than the sum of its proper divisors (10197795430135).

101013242310101 is a wasteful number, since it uses less digits than its factorization.

101013242310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353031732 (or 1353031721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 101013242310101 in words is "one hundred one trillion, thirteen billion, two hundred forty-two million, three hundred ten thousand, one hundred one".