100212102013 has 4 divisors (see below), whose sum is σ = 100218121948. Its totient is φ = 100206082080.

The previous prime is 100212101933. The next prime is 100212102017. The reversal of 100212102013 is 310201212001.

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 23071483449 + 77140618564 = 151893^2 + 277742^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212102013 - 2⁹ = 100212101501 is a prime.

It is a super-4 number, since 4×100212102013⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212101984 and 100212102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212102017) 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, 2984928 + ... + 3018313.

It is an arithmetic number, because the mean of its divisors is an integer number (25054530487).

Almost surely, 2^100212102013 is an apocalyptic number.

It is an amenable number.

100212102013 is a deficient number, since it is larger than the sum of its proper divisors (6019935).

100212102013 is an equidigital number, since it uses as much as digits as its factorization.

100212102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019934.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100212102013 its reverse (310201212001), we get a palindrome (410413314014).

The spelling of 100212102013 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, thirteen".