101001300021 has 24 divisors (see below), whose sum is σ = 151176219480. Its totient is φ = 64902598656.

The previous prime is 101001300011. The next prime is 101001300041. The reversal of 101001300021 is 120003100101.

It can be written as a sum of positive squares in 4 ways, for example, as 37100538225 + 63900761796 = 192615^2 + 252786^2 .

It is not a de Polignac number, because 101001300021 - 2¹¹ = 101001297973 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 = 101001299976 and 101001300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001300011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171516 + ... + 481061.

It is an arithmetic number, because the mean of its divisors is an integer number (6299009145).

Almost surely, 2^101001300021 is an apocalyptic number.

It is an amenable number.

101001300021 is a deficient number, since it is larger than the sum of its proper divisors (50174919459).

101001300021 is a wasteful number, since it uses less digits than its factorization.

101001300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653205 (or 653202 counting only the distinct ones).

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

Adding to 101001300021 its reverse (120003100101), we get a palindrome (221004400122).

The spelling of 101001300021 in words is "one hundred one billion, one million, three hundred thousand, twenty-one".