10020212010112 has 256 divisors, whose sum is σ = 21444291993600. Its totient is φ = 4653471449088.

The previous prime is 10020212010103. The next prime is 10020212010143. The reversal of 10020212010112 is 21101021202001.

It is a super-4 number, since 4×10020212010112⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020212010092 and 10020212010101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4706533464 + ... + 4706535592.

It is an arithmetic number, because the mean of its divisors is an integer number (83766765600).

Almost surely, 2^{10020212010112} 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 10020212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722145996800).

10020212010112 is an abundant number, since it is smaller than the sum of its proper divisors (11424079983488).

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

10020212010112 is a wasteful number, since it uses less digits than its factorization.

10020212010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10020212010112 its reverse (21101021202001), we get a palindrome (31121233212113).

The spelling of 10020212010112 in words is "ten trillion, twenty billion, two hundred twelve million, ten thousand, one hundred twelve".