100211002200221 has 8 divisors (see below), whose sum is σ = 109645488249024. Its totient is φ = 90830581974720.

The previous prime is 100211002200217. The next prime is 100211002200233. The reversal of 100211002200221 is 122002200112001.

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 100211002200221 - 2² = 100211002200217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211002200196 and 100211002200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211002220221) 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 7 ways as a sum of consecutive naturals, for example, 13516451945 + ... + 13516459358.

It is an arithmetic number, because the mean of its divisors is an integer number (13705686031128).

Almost surely, 2^{100211002200221} is an apocalyptic number.

100211002200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211002200221 is a deficient number, since it is larger than the sum of its proper divisors (9434486048803).

100211002200221 is a wasteful number, since it uses less digits than its factorization.

100211002200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27032911651.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100211002200221 its reverse (122002200112001), we get a palindrome (222213202312222).

The spelling of 100211002200221 in words is "one hundred trillion, two hundred eleven billion, two million, two hundred thousand, two hundred twenty-one".