202121021121101 has 32 divisors (see below), whose sum is σ = 219785887490400. Its totient is φ = 185167115182080.

The previous prime is 202121021121091. The next prime is 202121021121109. The reversal of 202121021121101 is 101121120121202.

It can be written as a sum of positive squares in 16 ways, for example, as 45311395927876 + 156809625193225 = 6731374^2 + 12522365^2 .

It is a cyclic number.

It is not a de Polignac number, because 202121021121101 - 2¹⁸ = 202121020858957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202121021121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121021121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90338531 + ... + 92548863.

It is an arithmetic number, because the mean of its divisors is an integer number (6868308984075).

Almost surely, 2^{202121021121101} is an apocalyptic number.

It is an amenable number.

202121021121101 is a deficient number, since it is larger than the sum of its proper divisors (17664866369299).

202121021121101 is a wasteful number, since it uses less digits than its factorization.

202121021121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211329.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 202121021121101 its reverse (101121120121202), we get a palindrome (303242141242303).

The spelling of 202121021121101 in words is "two hundred two trillion, one hundred twenty-one billion, twenty-one million, one hundred twenty-one thousand, one hundred one".