10211210121112 has 192 divisors, whose sum is σ = 26215885211040. Its totient is φ = 3665304115200.

The previous prime is 10211210121083. The next prime is 10211210121121. The reversal of 10211210121112 is 21112101211201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29030358 + ... + 29379994.

Almost surely, 2^{10211210121112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211210121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107942605520).

10211210121112 is an abundant number, since it is smaller than the sum of its proper divisors (16004675089928).

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

10211210121112 is a wasteful number, since it uses less digits than its factorization.

10211210121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350202 (or 350191 counting only the distinct ones).

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

Adding to 10211210121112 its reverse (21112101211201), we get a palindrome (31323311332313).

The spelling of 10211210121112 in words is "ten trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-one thousand, one hundred twelve".