100210221213 has 16 divisors (see below), whose sum is σ = 134293484736. Its totient is φ = 66467287040.

The previous prime is 100210221187. The next prime is 100210221233. The reversal of 100210221213 is 312122012001.

It is a cyclic number.

It is not a de Polignac number, because 100210221213 - 2³⁴ = 83030352029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210221192 and 100210221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210221233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967453 + ... + 1066013.

It is an arithmetic number, because the mean of its divisors is an integer number (8393342796).

Almost surely, 2^100210221213 is an apocalyptic number.

It is an amenable number.

100210221213 is a deficient number, since it is larger than the sum of its proper divisors (34083263523).

100210221213 is a wasteful number, since it uses less digits than its factorization.

100210221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100284.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100210221213 its reverse (312122012001), we get a palindrome (412332233214).

The spelling of 100210221213 in words is "one hundred billion, two hundred ten million, two hundred twenty-one thousand, two hundred thirteen".