100100012133221 has 8 divisors (see below), whose sum is σ = 100330068888000. Its totient is φ = 99870166346400.

The previous prime is 100100012133211. The next prime is 100100012133223. The reversal of 100100012133221 is 122331210001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100012133221 - 2⁶ = 100100012133157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100012133221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100012133223) 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 7 ways as a sum of consecutive naturals, for example, 51791921 + ... + 53689878.

It is an arithmetic number, because the mean of its divisors is an integer number (12541258611000).

Almost surely, 2^{100100012133221} is an apocalyptic number.

It is an amenable number.

100100012133221 is a deficient number, since it is larger than the sum of its proper divisors (230056754779).

100100012133221 is a wasteful number, since it uses less digits than its factorization.

100100012133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105483979.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100100012133221 its reverse (122331210001001), we get a palindrome (222431222134222).

The spelling of 100100012133221 in words is "one hundred trillion, one hundred billion, twelve million, one hundred thirty-three thousand, two hundred twenty-one".