10021100100213 has 8 divisors (see below), whose sum is σ = 13722587524768. Its totient is φ = 6500173037904.

The previous prime is 10021100100191. The next prime is 10021100100223. The reversal of 10021100100213 is 31200100112001.

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

It is not a de Polignac number, because 10021100100213 - 2⁵ = 10021100100181 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100100223) 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, 45140090431 + ... + 45140090652.

It is an arithmetic number, because the mean of its divisors is an integer number (1715323440596).

Almost surely, 2^{10021100100213} is an apocalyptic number.

It is an amenable number.

10021100100213 is a deficient number, since it is larger than the sum of its proper divisors (3701487424555).

10021100100213 is an equidigital number, since it uses as much as digits as its factorization.

10021100100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90280181123.

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

Adding to 10021100100213 its reverse (31200100112001), we get a palindrome (41221200212214).

The spelling of 10021100100213 in words is "ten trillion, twenty-one billion, one hundred million, one hundred thousand, two hundred thirteen".