100212202121 has 8 divisors (see below), whose sum is σ = 101216181000. Its totient is φ = 99208454400.

The previous prime is 100212202063. The next prime is 100212202127. The reversal of 100212202121 is 121202212001.

It can be written as a sum of positive squares in 4 ways, for example, as 59865855625 + 40346346496 = 244675^2 + 200864^2 .

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 100212202121 - 2³⁴ = 83032332937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212202096 and 100212202105.

It is not an unprimeable number, because it can be changed into a prime (100212202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891185 + ... + 997313.

It is an arithmetic number, because the mean of its divisors is an integer number (12652022625).

Almost surely, 2^100212202121 is an apocalyptic number.

It is an amenable number.

100212202121 is a deficient number, since it is larger than the sum of its proper divisors (1003978879).

100212202121 is a wasteful number, since it uses less digits than its factorization.

100212202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115579.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212202121 its reverse (121202212001), we get a palindrome (221414414122).

The spelling of 100212202121 in words is "one hundred billion, two hundred twelve million, two hundred two thousand, one hundred twenty-one".