10211121110112 has 384 divisors, whose sum is σ = 31384184832000. Its totient is φ = 2878788003840.

The previous prime is 10211121110107. The next prime is 10211121110117. The reversal of 10211121110112 is 21101112111201.

It is an interprime number because it is at equal distance from previous prime (10211121110107) and next prime (10211121110117).

It is a junction number, because it is equal to n+sod(n) for n = 10211121110091 and 10211121110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211121110117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1719330439 + ... + 1719336377.

It is an arithmetic number, because the mean of its divisors is an integer number (81729648000).

Almost surely, 2^{10211121110112} is an apocalyptic number.

10211121110112 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 10211121110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692092416000).

10211121110112 is an abundant number, since it is smaller than the sum of its proper divisors (21173063721888).

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

10211121110112 is a wasteful number, since it uses less digits than its factorization.

10211121110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10211121110112 its reverse (21101112111201), we get a palindrome (31312233221313).

The spelling of 10211121110112 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".