101102102021 has 4 divisors (see below), whose sum is σ = 101103873132. Its totient is φ = 101100330912.

The previous prime is 101102101993. The next prime is 101102102029. The reversal of 101102102021 is 120201201101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75894189121 + 25207912900 = 275489^2 + 158770^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102102021 - 2¹⁸ = 101101839877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102101993 and 101102102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 796976 + ... + 915081.

It is an arithmetic number, because the mean of its divisors is an integer number (25275968283).

Almost surely, 2^101102102021 is an apocalyptic number.

It is an amenable number.

101102102021 is a deficient number, since it is larger than the sum of its proper divisors (1771111).

101102102021 is an equidigital number, since it uses as much as digits as its factorization.

101102102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771110.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102102021 its reverse (120201201101), we get a palindrome (221303303122).

The spelling of 101102102021 in words is "one hundred one billion, one hundred two million, one hundred two thousand, twenty-one".