100010213213 has 8 divisors (see below), whose sum is σ = 102578064120. Its totient is φ = 97448485120.

The previous prime is 100010213207. The next prime is 100010213249. The reversal of 100010213213 is 312312010001.

It can be written as a sum of positive squares in 4 ways, for example, as 6485564089 + 93524649124 = 80533^2 + 305818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100010213213 - 2²² = 100006018909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010213203) 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, 1497608 + ... + 1562961.

It is an arithmetic number, because the mean of its divisors is an integer number (12822258015).

Almost surely, 2^100010213213 is an apocalyptic number.

It is an amenable number.

100010213213 is a deficient number, since it is larger than the sum of its proper divisors (2567850907).

100010213213 is an equidigital number, since it uses as much as digits as its factorization.

100010213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061407.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100010213213 its reverse (312312010001), we get a palindrome (412322223214).

The spelling of 100010213213 in words is "one hundred billion, ten million, two hundred thirteen thousand, two hundred thirteen".