100010011222121 has 32 divisors (see below), whose sum is σ = 134578239264000. Its totient is φ = 71775060295680.

The previous prime is 100010011222087. The next prime is 100010011222123. The reversal of 100010011222121 is 121222110010001.

It is not a de Polignac number, because 100010011222121 - 2⁶ = 100010011222057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010011222096 and 100010011222105.

It is not an unprimeable number, because it can be changed into a prime (100010011222123) 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 31 ways as a sum of consecutive naturals, for example, 110809016 + ... + 111707913.

It is an arithmetic number, because the mean of its divisors is an integer number (4205569977000).

Almost surely, 2^{100010011222121} is an apocalyptic number.

100010011222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010011222121 is a deficient number, since it is larger than the sum of its proper divisors (34568228041879).

100010011222121 is a wasteful number, since it uses less digits than its factorization.

100010011222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222517409.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100010011222121 its reverse (121222110010001), we get a palindrome (221232121232122).

It can be divided in two parts, 1000100 and 11222121, that added together give a palindrome (12222221).

The spelling of 100010011222121 in words is "one hundred trillion, ten billion, eleven million, two hundred twenty-two thousand, one hundred twenty-one".