10112012100211 has 24 divisors (see below), whose sum is σ = 12197228904960. Its totient is φ = 8210995649136.

The previous prime is 10112012100139. The next prime is 10112012100233. The reversal of 10112012100211 is 11200121021101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10112012100211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112012100191 and 10112012100200.

It is not an unprimeable number, because it can be changed into a prime (10112012100251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138410230 + ... + 138483268.

It is an arithmetic number, because the mean of its divisors is an integer number (508217871040).

Almost surely, 2^{10112012100211} is an apocalyptic number.

10112012100211 is a deficient number, since it is larger than the sum of its proper divisors (2085216804749).

10112012100211 is an equidigital number, since it uses as much as digits as its factorization.

10112012100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127871 (or 127852 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10112012100211 its reverse (11200121021101), we get a palindrome (21312133121312).

The spelling of 10112012100211 in words is "ten trillion, one hundred twelve billion, twelve million, one hundred thousand, two hundred eleven".