101201013 has 12 divisors (see below), whose sum is σ = 148576428. Its totient is φ = 66360960.

The previous prime is 101201003. The next prime is 101201041. The reversal of 101201013 is 310102101.

It can be written as a sum of positive squares in 2 ways, for example, as 1340964 + 99860049 = 1158^2 + 9993^2 .

It is not a de Polignac number, because 101201013 - 2¹² = 101196917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101200986 and 101201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91620 + ... + 92717.

It is an arithmetic number, because the mean of its divisors is an integer number (12381369).

Almost surely, 2^101201013 is an apocalyptic number.

It is an amenable number.

101201013 is a deficient number, since it is larger than the sum of its proper divisors (47375415).

101201013 is a wasteful number, since it uses less digits than its factorization.

101201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184404 (or 184401 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101201013 is about 10059.8714206495. The cubic root of 101201013 is about 466.0096963605.

Adding to 101201013 its reverse (310102101), we get a palindrome (411303114).

The spelling of 101201013 in words is "one hundred one million, two hundred one thousand, thirteen".