100222212211121 has 32 divisors (see below), whose sum is σ = 142479623801088. Its totient is φ = 67847439882240.

The previous prime is 100222212211081. The next prime is 100222212211129. The reversal of 100222212211121 is 121112212222001.

It is a cyclic number.

It is not a de Polignac number, because 100222212211121 - 2¹⁸ = 100222211948977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222212211093 and 100222212211102.

It is not an unprimeable number, because it can be changed into a prime (100222212211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2944750340 + ... + 2944784373.

It is an arithmetic number, because the mean of its divisors is an integer number (4452488243784).

Almost surely, 2^{100222212211121} is an apocalyptic number.

100222212211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222212211121 is a deficient number, since it is larger than the sum of its proper divisors (42257411589967).

100222212211121 is a wasteful number, since it uses less digits than its factorization.

100222212211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889534761.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100222212211121 its reverse (121112212222001), we get a palindrome (221334424433122).

The spelling of 100222212211121 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".