10212202112112 has 640 divisors, whose sum is σ = 39831370629120. Its totient is φ = 2418971765760.

The previous prime is 10212202112111. The next prime is 10212202112113. The reversal of 10212202112112 is 21121120221201.

10212202112112 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 211 + 211 + 2 = 666.

10212202112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10212202112111) and next prime (10212202112113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212202112111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35749593 + ... + 36034119.

It is an arithmetic number, because the mean of its divisors is an integer number (62236516608).

Almost surely, 2^{10212202112112} is an apocalyptic number.

10212202112112 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 10212202112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19915685314560).

10212202112112 is an abundant number, since it is smaller than the sum of its proper divisors (29619168517008).

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

10212202112112 is a wasteful number, since it uses less digits than its factorization.

10212202112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284658 (or 284646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10212202112112 its reverse (21121120221201), we get a palindrome (31333322333313).

The spelling of 10212202112112 in words is "ten trillion, two hundred twelve billion, two hundred two million, one hundred twelve thousand, one hundred twelve".