101003122021 has 6 divisors (see below), whose sum is σ = 103526699666. Its totient is φ = 98539629600.

The previous prime is 101003122009. The next prime is 101003122079. The reversal of 101003122021 is 120221300101.

It can be written as a sum of positive squares in 3 ways, for example, as 13291784100 + 87711337921 = 115290^2 + 296161^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101003122021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101003121992 and 101003122010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003122621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30040890 + ... + 30044251.

Almost surely, 2^101003122021 is an apocalyptic number.

It is an amenable number.

101003122021 is a deficient number, since it is larger than the sum of its proper divisors (2523577645).

101003122021 is an frugal number, since it uses more digits than its factorization.

101003122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60085223 (or 60085182 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101003122021 its reverse (120221300101), we get a palindrome (221224422122).

The spelling of 101003122021 in words is "one hundred one billion, three million, one hundred twenty-two thousand, twenty-one".