100201200202121 has 32 divisors (see below), whose sum is σ = 106211759846400. Its totient is φ = 94266745574400.

The previous prime is 100201200202091. The next prime is 100201200202133. The reversal of 100201200202121 is 121202002102001.

It is a cyclic number.

It is not a de Polignac number, because 100201200202121 - 2¹⁰ = 100201200201097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201200202096 and 100201200202105.

It is not an unprimeable number, because it can be changed into a prime (100201200202421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3819066815 + ... + 3819093051.

It is an arithmetic number, because the mean of its divisors is an integer number (3319117495200).

Almost surely, 2^{100201200202121} is an apocalyptic number.

It is an amenable number.

100201200202121 is a deficient number, since it is larger than the sum of its proper divisors (6010559644279).

100201200202121 is a wasteful number, since it uses less digits than its factorization.

100201200202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28769.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100201200202121 its reverse (121202002102001), we get a palindrome (221403202304122).

The spelling of 100201200202121 in words is "one hundred trillion, two hundred one billion, two hundred million, two hundred two thousand, one hundred twenty-one".