100000011211221 has 64 divisors (see below), whose sum is σ = 148540415535360. Its totient is φ = 59332707901440.

The previous prime is 100000011211213. The next prime is 100000011211273. The reversal of 100000011211221 is 122112110000001.

It is not a de Polignac number, because 100000011211221 - 2³ = 100000011211213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000011211197 and 100000011211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000011211021) 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 63 ways as a sum of consecutive naturals, for example, 5621443195 + ... + 5621460983.

It is an arithmetic number, because the mean of its divisors is an integer number (2320943992740).

Almost surely, 2^{100000011211221} is an apocalyptic number.

100000011211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000011211221 is a deficient number, since it is larger than the sum of its proper divisors (48540404324139).

100000011211221 is a wasteful number, since it uses less digits than its factorization.

100000011211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35046.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100000011211221 its reverse (122112110000001), we get a palindrome (222112121211222).

It can be divided in two parts, 1000000 and 11211221, that added together give a palindrome (12211221).

The spelling of 100000011211221 in words is "one hundred trillion, eleven million, two hundred eleven thousand, two hundred twenty-one".