10211202020112 has 160 divisors (see below), whose sum is σ = 28045091189760. Its totient is φ = 3195825684480.

The previous prime is 10211202020099. The next prime is 10211202020153. The reversal of 10211202020112 is 21102020211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211202020091 and 10211202020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19172064 + ... + 19697472.

It is an arithmetic number, because the mean of its divisors is an integer number (175281819936).

Almost surely, 2^{10211202020112} is an apocalyptic number.

10211202020112 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 10211202020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022545594880).

10211202020112 is an abundant number, since it is smaller than the sum of its proper divisors (17833889169648).

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

10211202020112 is a wasteful number, since it uses less digits than its factorization.

10211202020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525841 (or 525835 counting only the distinct ones).

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

Adding to 10211202020112 its reverse (21102020211201), we get a palindrome (31313222231313).

The spelling of 10211202020112 in words is "ten trillion, two hundred eleven billion, two hundred two million, twenty thousand, one hundred twelve".