10100213321 has 8 divisors (see below), whose sum is σ = 11050172064. Its totient is φ = 9155547520.

The previous prime is 10100213317. The next prime is 10100213371. The reversal of 10100213321 is 12331200101.

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

It is a cyclic number.

It is not a de Polignac number, because 10100213321 - 2² = 10100213317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100213296 and 10100213305.

It is not an unprimeable number, because it can be changed into a prime (10100213371) 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, 1319240 + ... + 1326873.

It is an arithmetic number, because the mean of its divisors is an integer number (1381271508).

Almost surely, 2^10100213321 is an apocalyptic number.

10100213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100213321 is a deficient number, since it is larger than the sum of its proper divisors (949958743).

10100213321 is a wasteful number, since it uses less digits than its factorization.

10100213321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646471.

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

Adding to 10100213321 its reverse (12331200101), we get a palindrome (22431413422).

The spelling of 10100213321 in words is "ten billion, one hundred million, two hundred thirteen thousand, three hundred twenty-one".