100112102121221 has 16 divisors (see below), whose sum is σ = 104776819063680. Its totient is φ = 95473809414720.

The previous prime is 100112102121197. The next prime is 100112102121259. The reversal of 100112102121221 is 122121201211001.

It is a cyclic number.

It is not a de Polignac number, because 100112102121221 - 2¹⁴ = 100112102104837 is a prime.

It is a super-3 number, since 3×100112102121221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 100112102121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112102121281) 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, 5614931 + ... + 15223391.

It is an arithmetic number, because the mean of its divisors is an integer number (6548551191480).

Almost surely, 2^{100112102121221} is an apocalyptic number.

It is an amenable number.

100112102121221 is a deficient number, since it is larger than the sum of its proper divisors (4664716942459).

100112102121221 is an equidigital number, since it uses as much as digits as its factorization.

100112102121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9609836.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100112102121221 its reverse (122121201211001), we get a palindrome (222233303332222).

The spelling of 100112102121221 in words is "one hundred trillion, one hundred twelve billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty-one".