100100112221221 has 16 divisors (see below), whose sum is σ = 120232852992000. Its totient is φ = 81479228017968.

The previous prime is 100100112221201. The next prime is 100100112221257. The reversal of 100100112221221 is 122122211001001.

It is not a de Polignac number, because 100100112221221 - 2¹⁷ = 100100112090149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100112221195 and 100100112221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100112221201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236451821 + ... + 2236496578.

It is an arithmetic number, because the mean of its divisors is an integer number (7514553312000).

Almost surely, 2^{100100112221221} is an apocalyptic number.

It is an amenable number.

100100112221221 is a deficient number, since it is larger than the sum of its proper divisors (20132740770779).

100100112221221 is a wasteful number, since it uses less digits than its factorization.

100100112221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472948568.

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

Adding to 100100112221221 its reverse (122122211001001), we get a palindrome (222222323222222).

The spelling of 100100112221221 in words is "one hundred trillion, one hundred billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".