10211033112 has 128 divisors (see below), whose sum is σ = 29581770240. Its totient is φ = 2876958720.

The previous prime is 10211033111. The next prime is 10211033113. The reversal of 10211033112 is 21133011201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10211033111) and next prime (10211033113).

It is a junction number, because it is equal to n+sod(n) for n = 10211033091 and 10211033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211033111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331038 + ... + 4333394.

It is an arithmetic number, because the mean of its divisors is an integer number (231107580).

Almost surely, 2^10211033112 is an apocalyptic number.

10211033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790885120).

10211033112 is an abundant number, since it is smaller than the sum of its proper divisors (19370737128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211033112 is a wasteful number, since it uses less digits than its factorization.

10211033112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10211033112 its reverse (21133011201), we get a palindrome (31344044313).

The spelling of 10211033112 in words is "ten billion, two hundred eleven million, thirty-three thousand, one hundred twelve".