100112121001221 has 48 divisors (see below), whose sum is σ = 160093108028736. Its totient is φ = 55444213407744.

The previous prime is 100112121001171. The next prime is 100112121001237. The reversal of 100112121001221 is 122100121211001.

It is a happy number.

It is not a de Polignac number, because 100112121001221 - 2⁶ = 100112121001157 is a prime.

It is a super-2 number, since 2×100112121001221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100112121001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121001241) 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 47 ways as a sum of consecutive naturals, for example, 34412191 + ... + 37207836.

It is an arithmetic number, because the mean of its divisors is an integer number (3335273083932).

Almost surely, 2^{100112121001221} is an apocalyptic number.

It is an amenable number.

100112121001221 is a deficient number, since it is larger than the sum of its proper divisors (59980987027515).

100112121001221 is a wasteful number, since it uses less digits than its factorization.

100112121001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71620338 (or 71620331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112121001221 its reverse (122100121211001), we get a palindrome (222212242212222).

The spelling of 100112121001221 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, two hundred twenty-one".