211100102021221 has 8 divisors (see below), whose sum is σ = 241257383407040. Its totient is φ = 180942851623968.

The previous prime is 211100102021167. The next prime is 211100102021239. The reversal of 211100102021221 is 122120201001112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211100102021221 - 2²³ = 211100093632613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211100102021195 and 211100102021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100102021621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9372490 + ... + 22584148.

It is an arithmetic number, because the mean of its divisors is an integer number (30157172925880).

Almost surely, 2^{211100102021221} is an apocalyptic number.

It is an amenable number.

211100102021221 is a deficient number, since it is larger than the sum of its proper divisors (30157281385819).

211100102021221 is a wasteful number, since it uses less digits than its factorization.

211100102021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494283.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211100102021221 its reverse (122120201001112), we get a palindrome (333220303022333).

It can be divided in two parts, 211100 and 102021221, that added together give a square (102232321 = 10111²).

The spelling of 211100102021221 in words is "two hundred eleven trillion, one hundred billion, one hundred two million, twenty-one thousand, two hundred twenty-one".