100201101001221 has 32 divisors (see below), whose sum is σ = 153738242150400. Its totient is φ = 57411624458880.

The previous prime is 100201101001187. The next prime is 100201101001249. The reversal of 100201101001221 is 122100101102001.

It is not a de Polignac number, because 100201101001221 - 2¹⁷ = 100201100870149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201101001197 and 100201101001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201101001271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166516336 + ... + 167117001.

It is an arithmetic number, because the mean of its divisors is an integer number (4804320067200).

Almost surely, 2^{100201101001221} is an apocalyptic number.

100201101001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201101001221 is a deficient number, since it is larger than the sum of its proper divisors (53537141149179).

100201101001221 is a wasteful number, since it uses less digits than its factorization.

100201101001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333633849.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201101001221 its reverse (122100101102001), we get a palindrome (222301202103222).

The spelling of 100201101001221 in words is "one hundred trillion, two hundred one billion, one hundred one million, one thousand, two hundred twenty-one".