100201212101221 has 16 divisors (see below), whose sum is σ = 124926770073600. Its totient is φ = 78078501848880.

The previous prime is 100201212101183. The next prime is 100201212101317. The reversal of 100201212101221 is 122101212102001.

It is a cyclic number.

It is not a de Polignac number, because 100201212101221 - 2¹⁷ = 100201211970149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201212101195 and 100201212101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201212101321) 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 15 ways as a sum of consecutive naturals, for example, 14181060 + ... + 20037586.

It is an arithmetic number, because the mean of its divisors is an integer number (7807923129600).

Almost surely, 2^{100201212101221} is an apocalyptic number.

100201212101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201212101221 is a deficient number, since it is larger than the sum of its proper divisors (24725557972379).

100201212101221 is a wasteful number, since it uses less digits than its factorization.

100201212101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078744.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100201212101221 its reverse (122101212102001), we get a palindrome (222302424203222).

The spelling of 100201212101221 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, two hundred twenty-one".