100211222111221 has 24 divisors (see below), whose sum is σ = 115788652278720. Its totient is φ = 86433637769856.

The previous prime is 100211222111201. The next prime is 100211222111261. The reversal of 100211222111221 is 122111222112001.

It is a happy number.

It is not a de Polignac number, because 100211222111221 - 2¹⁵ = 100211222078453 is a prime.

It is a super-2 number, since 2×100211222111221² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211222111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213524001 + ... + 213992806.

It is an arithmetic number, because the mean of its divisors is an integer number (4824527178280).

Almost surely, 2^{100211222111221} is an apocalyptic number.

It is an amenable number.

100211222111221 is a deficient number, since it is larger than the sum of its proper divisors (15577430167499).

100211222111221 is a wasteful number, since it uses less digits than its factorization.

100211222111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427516925 (or 427516912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100211222111221 its reverse (122111222112001), we get a palindrome (222322444223222).

The spelling of 100211222111221 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".