10001102213 has 16 divisors (see below), whose sum is σ = 10659893760. Its totient is φ = 9362415216.

The previous prime is 10001102207. The next prime is 10001102263. The reversal of 10001102213 is 31220110001.

It is a cyclic number.

It is not a de Polignac number, because 10001102213 - 2²⁴ = 9984324997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001102194 and 10001102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001102263) 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, 291806 + ... + 324272.

It is an arithmetic number, because the mean of its divisors is an integer number (666243360).

Almost surely, 2^10001102213 is an apocalyptic number.

It is an amenable number.

10001102213 is a deficient number, since it is larger than the sum of its proper divisors (658791547).

10001102213 is a wasteful number, since it uses less digits than its factorization.

10001102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32776.

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

Adding to 10001102213 its reverse (31220110001), we get a palindrome (41221212214).

The spelling of 10001102213 in words is "ten billion, one million, one hundred two thousand, two hundred thirteen".