100200221210221 has 8 divisors (see below), whose sum is σ = 110391602846688. Its totient is φ = 90189218010000.

The previous prime is 100200221210213. The next prime is 100200221210273. The reversal of 100200221210221 is 122012122002001.

It is a happy number.

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 100200221210221 - 2³ = 100200221210213 is a prime.

It is a super-3 number, since 3×100200221210221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200221210195 and 100200221210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200221210321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45094607895 + ... + 45094610116.

It is an arithmetic number, because the mean of its divisors is an integer number (13798950355836).

Almost surely, 2^{100200221210221} is an apocalyptic number.

100200221210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200221210221 is a deficient number, since it is larger than the sum of its proper divisors (10191381636467).

100200221210221 is a wasteful number, since it uses less digits than its factorization.

100200221210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90189218123.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100200221210221 its reverse (122012122002001), we get a palindrome (222212343212222).

The spelling of 100200221210221 in words is "one hundred trillion, two hundred billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty-one".