10200434411112 has 64 divisors (see below), whose sum is σ = 27996560107200. Its totient is φ = 3071352560640.

The previous prime is 10200434411099. The next prime is 10200434411117. The reversal of 10200434411112 is 21111443400201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10200434411117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123009537 + ... + 123092432.

It is an arithmetic number, because the mean of its divisors is an integer number (437446251675).

Almost surely, 2^{10200434411112} is an apocalyptic number.

10200434411112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200434411112 is an abundant number, since it is smaller than the sum of its proper divisors (17796125696088).

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

10200434411112 is a wasteful number, since it uses less digits than its factorization.

10200434411112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246102146 (or 246102142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10200434411112 its reverse (21111443400201), we get a palindrome (31311877811313).

The spelling of 10200434411112 in words is "ten trillion, two hundred billion, four hundred thirty-four million, four hundred eleven thousand, one hundred twelve".