100233121221 has 40 divisors (see below), whose sum is σ = 155362575104. Its totient is φ = 64331159040.

The previous prime is 100233121213. The next prime is 100233121229. The reversal of 100233121221 is 122121332001.

100233121221 is a `hidden beast` number, since 100 + 2 + 331 + 212 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (100233121213) and next prime (100233121229).

It is not a de Polignac number, because 100233121221 - 2³ = 100233121213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100233121194 and 100233121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233121229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381210 + ... + 588036.

Almost surely, 2^100233121221 is an apocalyptic number.

It is an amenable number.

100233121221 is a deficient number, since it is larger than the sum of its proper divisors (55129453883).

100233121221 is a wasteful number, since it uses less digits than its factorization.

100233121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207063 (or 207054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100233121221 its reverse (122121332001), we get a palindrome (222354453222).

The spelling of 100233121221 in words is "one hundred billion, two hundred thirty-three million, one hundred twenty-one thousand, two hundred twenty-one".