101010122021 has 8 divisors (see below), whose sum is σ = 101558994264. Its totient is φ = 100462236160.

The previous prime is 101010121991. The next prime is 101010122039. The reversal of 101010122021 is 120221010101.

It can be written as a sum of positive squares in 4 ways, for example, as 16253445121 + 84756676900 = 127489^2 + 291130^2 .

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 101010122021 - 2¹⁸ = 101009859877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010121993 and 101010122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010122071) 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, 40766 + ... + 451311.

It is an arithmetic number, because the mean of its divisors is an integer number (12694874283).

Almost surely, 2^101010122021 is an apocalyptic number.

It is an amenable number.

101010122021 is a deficient number, since it is larger than the sum of its proper divisors (548872243).

101010122021 is an equidigital number, since it uses as much as digits as its factorization.

101010122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493191.

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

Adding to 101010122021 its reverse (120221010101), we get a palindrome (221231132122).

The spelling of 101010122021 in words is "one hundred one billion, ten million, one hundred twenty-two thousand, twenty-one".