100122012121121 has 4 divisors (see below), whose sum is σ = 100152087826500. Its totient is φ = 100091936415744.

The previous prime is 100122012121069. The next prime is 100122012121151. The reversal of 100122012121121 is 121121210221001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 45736343008225 + 54385669112896 = 6762865^2 + 7374664^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122012121121 - 2¹⁸ = 100122011858977 is a prime.

It is a super-2 number, since 2×100122012121121² (a number of 29 digits) contains 22 as substring.

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 100122012121121.

It is not an unprimeable number, because it can be changed into a prime (100122012121151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15037847696 + ... + 15037854353.

It is an arithmetic number, because the mean of its divisors is an integer number (25038021956625).

Almost surely, 2^{100122012121121} is an apocalyptic number.

It is an amenable number.

100122012121121 is a deficient number, since it is larger than the sum of its proper divisors (30075705379).

100122012121121 is an equidigital number, since it uses as much as digits as its factorization.

100122012121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30075705378.

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

Adding to 100122012121121 its reverse (121121210221001), we get a palindrome (221243222342122).

The spelling of 100122012121121 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".