100211210001221 has 8 divisors (see below), whose sum is σ = 109321902950688. Its totient is φ = 91100614210000.

The previous prime is 100211210001173. The next prime is 100211210001271. The reversal of 100211210001221 is 122100012112001.

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 100211210001221 - 2¹⁰ = 100211210000197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211210001196 and 100211210001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211210001271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22124555 + ... + 26266296.

It is an arithmetic number, because the mean of its divisors is an integer number (13665237868836).

Almost surely, 2^{100211210001221} is an apocalyptic number.

100211210001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211210001221 is a deficient number, since it is larger than the sum of its proper divisors (9110692949467).

100211210001221 is a wasteful number, since it uses less digits than its factorization.

100211210001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48579123.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211210001221 its reverse (122100012112001), we get a palindrome (222311222113222).

The spelling of 100211210001221 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one thousand, two hundred twenty-one".