10212211100112 has 160 divisors (see below), whose sum is σ = 30732848471808. Its totient is φ = 2861451460608.

The previous prime is 10212211100111. The next prime is 10212211100123. The reversal of 10212211100112 is 21100111221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10212211100091 and 10212211100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40351438 + ... + 40603730.

Almost surely, 2^{10212211100112} is an apocalyptic number.

10212211100112 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 10212211100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366424235904).

10212211100112 is an abundant number, since it is smaller than the sum of its proper divisors (20520637371696).

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

10212211100112 is a wasteful number, since it uses less digits than its factorization.

10212211100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254637 (or 254631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10212211100112 its reverse (21100111221201), we get a palindrome (31312322321313).

The spelling of 10212211100112 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, one hundred thousand, one hundred twelve".