100212222211221 has 16 divisors (see below), whose sum is σ = 135479863560960. Its totient is φ = 65876813245440.

The previous prime is 100212222211151. The next prime is 100212222211229. The reversal of 100212222211221 is 122112222212001.

It is not a de Polignac number, because 100212222211221 - 2¹⁴ = 100212222194837 is a prime.

It is a super-2 number, since 2×100212222211221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212222211229) 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 15 ways as a sum of consecutive naturals, for example, 55197660 + ... + 56984261.

It is an arithmetic number, because the mean of its divisors is an integer number (8467491472560).

Almost surely, 2^{100212222211221} is an apocalyptic number.

It is an amenable number.

100212222211221 is a deficient number, since it is larger than the sum of its proper divisors (35267641349739).

100212222211221 is a wasteful number, since it uses less digits than its factorization.

100212222211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112186076.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100212222211221 its reverse (122112222212001), we get a palindrome (222324444423222).

The spelling of 100212222211221 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".