100201111121221 has 8 divisors (see below), whose sum is σ = 110392583270688. Its totient is φ = 90190019010000.

The previous prime is 100201111121179. The next prime is 100201111121239. The reversal of 100201111121221 is 122121111102001.

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 100201111121221 - 2²¹ = 100201109024069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201111121195 and 100201111121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201111122221) 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 7 ways as a sum of consecutive naturals, for example, 45095008395 + ... + 45095010616.

It is an arithmetic number, because the mean of its divisors is an integer number (13799072908836).

Almost surely, 2^{100201111121221} is an apocalyptic number.

100201111121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201111121221 is a deficient number, since it is larger than the sum of its proper divisors (10191472149467).

100201111121221 is a wasteful number, since it uses less digits than its factorization.

100201111121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90190019123.

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

Adding to 100201111121221 its reverse (122121111102001), we get a palindrome (222322222223222).

The spelling of 100201111121221 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".