100212103121 has 8 divisors (see below), whose sum is σ = 108062551464. Its totient is φ = 92381915520.

The previous prime is 100212103109. The next prime is 100212103133. The reversal of 100212103121 is 121301212001.

It is an interprime number because it is at equal distance from previous prime (100212103109) and next prime (100212103133).

It can be written as a sum of positive squares in 4 ways, for example, as 21650179600 + 78561923521 = 147140^2 + 280289^2 .

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 100212103121 - 2¹⁸ = 100211840977 is a prime.

It is a super-5 number, since 5×100212103121⁵ (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212103096 and 100212103105.

It is not an unprimeable number, because it can be changed into a prime (100212103181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5054906 + ... + 5074691.

It is an arithmetic number, because the mean of its divisors is an integer number (13507818933).

Almost surely, 2^100212103121 is an apocalyptic number.

It is an amenable number.

100212103121 is a deficient number, since it is larger than the sum of its proper divisors (7850448343).

100212103121 is a wasteful number, since it uses less digits than its factorization.

100212103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130371.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100212103121 its reverse (121301212001), we get a palindrome (221513315122).

The spelling of 100212103121 in words is "one hundred billion, two hundred twelve million, one hundred three thousand, one hundred twenty-one".