10202200010112 has 64 divisors (see below), whose sum is σ = 29563193223360. Its totient is φ = 3091575759360.

The previous prime is 10202200010071. The next prime is 10202200010117. The reversal of 10202200010112 is 21101000220201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202200010117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207642558 + ... + 1207651005.

It is an arithmetic number, because the mean of its divisors is an integer number (461924894115).

Almost surely, 2^{10202200010112} is an apocalyptic number.

10202200010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202200010112 is an abundant number, since it is smaller than the sum of its proper divisors (19360993213248).

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

10202200010112 is a wasteful number, since it uses less digits than its factorization.

10202200010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415293591 (or 2415293579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202200010112 its reverse (21101000220201), we get a palindrome (31303200230313).

The spelling of 10202200010112 in words is "ten trillion, two hundred two billion, two hundred million, ten thousand, one hundred twelve".