10002112211 has 40 divisors (see below), whose sum is σ = 12972618624. Its totient is φ = 7657735680.

The previous prime is 10002112193. The next prime is 10002112217. The reversal of 10002112211 is 11221120001.

It is not a de Polignac number, because 10002112211 - 2⁶ = 10002112147 is a prime.

It is a super-3 number, since 3×10002112211³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002112192 and 10002112201.

It is not an unprimeable number, because it can be changed into a prime (10002112217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 962435 + ... + 972771.

Almost surely, 2^10002112211 is an apocalyptic number.

10002112211 is a deficient number, since it is larger than the sum of its proper divisors (2970506413).

10002112211 is an equidigital number, since it uses as much as digits as its factorization.

10002112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002112211 its reverse (11221120001), we get a palindrome (21223232212).

The spelling of 10002112211 in words is "ten billion, two million, one hundred twelve thousand, two hundred eleven".