101021013 has 20 divisors (see below), whose sum is σ = 152827840. Its totient is φ = 66490632.

The previous prime is 101021003. The next prime is 101021027. The reversal of 101021013 is 310120101.

It is not a de Polignac number, because 101021013 - 2⁵ = 101020981 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020986 and 101021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1495 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (7641392).

Almost surely, 2^101021013 is an apocalyptic number.

It is an amenable number.

101021013 is a deficient number, since it is larger than the sum of its proper divisors (51806827).

101021013 is an equidigital number, since it uses as much as digits as its factorization.

101021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15878 (or 15869 counting only the distinct ones).

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

The square root of 101021013 is about 10050.9210025748. The cubic root of 101021013 is about 465.7332448250.

Adding to 101021013 its reverse (310120101), we get a palindrome (411141114).

The spelling of 101021013 in words is "one hundred one million, twenty-one thousand, thirteen".