101102013 has 20 divisors (see below), whose sum is σ = 152060700. Its totient is φ = 66940992.

The previous prime is 101102003. The next prime is 101102039. The reversal of 101102013 is 310201101.

It can be written as a sum of positive squares in 2 ways, for example, as 13155129 + 87946884 = 3627^2 + 9378^2 .

It is not a de Polignac number, because 101102013 - 2¹⁴ = 101085629 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101101986 and 101102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7881 + ... + 16257.

It is an arithmetic number, because the mean of its divisors is an integer number (7603035).

Almost surely, 2^101102013 is an apocalyptic number.

It is an amenable number.

101102013 is a deficient number, since it is larger than the sum of its proper divisors (50958687).

101102013 is an equidigital number, since it uses as much as digits as its factorization.

101102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8538 (or 8529 counting only the distinct ones).

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

The square root of 101102013 is about 10054.9496766518. The cubic root of 101102013 is about 465.8576886199.

Adding to 101102013 its reverse (310201101), we get a palindrome (411303114).

The spelling of 101102013 in words is "one hundred one million, one hundred two thousand, thirteen".