10020212102112 has 96 divisors (see below), whose sum is σ = 27454506508800. Its totient is φ = 3193937809920.

The previous prime is 10020212102093. The next prime is 10020212102143. The reversal of 10020212102112 is 21120121202001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10020212102091 and 10020212102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7106014 + ... + 8398562.

It is an arithmetic number, because the mean of its divisors is an integer number (285984442800).

Almost surely, 2^{10020212102112} is an apocalyptic number.

10020212102112 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 10020212102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727253254400).

10020212102112 is an abundant number, since it is smaller than the sum of its proper divisors (17434294406688).

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

10020212102112 is a wasteful number, since it uses less digits than its factorization.

10020212102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296096 (or 1296088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10020212102112 its reverse (21120121202001), we get a palindrome (31140333304113).

The spelling of 10020212102112 in words is "ten trillion, twenty billion, two hundred twelve million, one hundred two thousand, one hundred twelve".