10100102213 has 16 divisors (see below), whose sum is σ = 10701081600. Its totient is φ = 9506231280.

The previous prime is 10100102191. The next prime is 10100102239. The reversal of 10100102213 is 31220100101.

It is a cyclic number.

It is not a de Polignac number, because 10100102213 - 2¹⁰ = 10100101189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100102194 and 10100102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100152213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2640020 + ... + 2643842.

It is an arithmetic number, because the mean of its divisors is an integer number (668817600).

Almost surely, 2^10100102213 is an apocalyptic number.

It is an amenable number.

10100102213 is a deficient number, since it is larger than the sum of its proper divisors (600979387).

10100102213 is a wasteful number, since it uses less digits than its factorization.

10100102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10100102213 its reverse (31220100101), we get a palindrome (41320202314).

The spelling of 10100102213 in words is "ten billion, one hundred million, one hundred two thousand, two hundred thirteen".