10212102012112 has 640 divisors, whose sum is σ = 28375399858176. Its totient is φ = 3432499200000.

The previous prime is 10212102012103. The next prime is 10212102012127. The reversal of 10212102012112 is 21121020121201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2055987453 + ... + 2055992419.

Almost surely, 2^{10212102012112} 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 10212102012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187699929088).

10212102012112 is an abundant number, since it is smaller than the sum of its proper divisors (18163297846064).

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

10212102012112 is a wasteful number, since it uses less digits than its factorization.

10212102012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212102012112 its reverse (21121020121201), we get a palindrome (31333122133313).

The spelling of 10212102012112 in words is "ten trillion, two hundred twelve billion, one hundred two million, twelve thousand, one hundred twelve".