101021101021 has 8 divisors (see below), whose sum is σ = 102032624088. Its totient is φ = 100009800000.

The previous prime is 101021100979. The next prime is 101021101057. The reversal of 101021101021 is 120101120101.

It can be written as a sum of positive squares in 4 ways, for example, as 35236545796 + 65784555225 = 187714^2 + 256485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101021101021 - 2¹⁹ = 101020576733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021100989 and 101021101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021101061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949491 + ... + 1050511.

It is an arithmetic number, because the mean of its divisors is an integer number (12754078011).

Almost surely, 2^101021101021 is an apocalyptic number.

It is an amenable number.

101021101021 is a deficient number, since it is larger than the sum of its proper divisors (1011523067).

101021101021 is a wasteful number, since it uses less digits than its factorization.

101021101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111023.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021101021 its reverse (120101120101), we get a palindrome (221122221122).

The spelling of 101021101021 in words is "one hundred one billion, twenty-one million, one hundred one thousand, twenty-one".