10211020202112 has 256 divisors, whose sum is σ = 28177129601280. Its totient is φ = 3273717841920.

The previous prime is 10211020202059. The next prime is 10211020202113. The reversal of 10211020202112 is 21120202011201.

It is a junction number, because it is equal to n+sod(n) for n = 10211020202091 and 10211020202100.

It is not an unprimeable number, because it can be changed into a prime (10211020202113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469094653 + ... + 469116419.

It is an arithmetic number, because the mean of its divisors is an integer number (110066912505).

Almost surely, 2^{10211020202112} is an apocalyptic number.

10211020202112 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 10211020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14088564800640).

10211020202112 is an abundant number, since it is smaller than the sum of its proper divisors (17966109399168).

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

10211020202112 is a wasteful number, since it uses less digits than its factorization.

10211020202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22199 (or 22187 counting only the distinct ones).

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

Adding to 10211020202112 its reverse (21120202011201), we get a palindrome (31331222213313).

The spelling of 10211020202112 in words is "ten trillion, two hundred eleven billion, twenty million, two hundred two thousand, one hundred twelve".