10202111102112 has 48 divisors (see below), whose sum is σ = 27285834895200. Its totient is φ = 3336539478272.

The previous prime is 10202111102107. The next prime is 10202111102147. The reversal of 10202111102112 is 21120111120201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10202111102091 and 10202111102100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002560862 + ... + 1002571037.

It is an arithmetic number, because the mean of its divisors is an integer number (568454893650).

Almost surely, 2^{10202111102112} is an apocalyptic number.

10202111102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202111102112 is an abundant number, since it is smaller than the sum of its proper divisors (17083723793088).

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

10202111102112 is a wasteful number, since it uses less digits than its factorization.

10202111102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005131965 (or 2005131957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10202111102112 its reverse (21120111120201), we get a palindrome (31322222222313).

The spelling of 10202111102112 in words is "ten trillion, two hundred two billion, one hundred eleven million, one hundred two thousand, one hundred twelve".