10205111350512 has 160 divisors (see below), whose sum is σ = 31547610615360. Its totient is φ = 3139845534720.

The previous prime is 10205111350507. The next prime is 10205111350519. The reversal of 10205111350512 is 21505311150201.

It is a happy number.

10205111350512 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 11 + 135 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205111350519) 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, 114954462 + ... + 115043202.

It is an arithmetic number, because the mean of its divisors is an integer number (197172566346).

Almost surely, 2^{10205111350512} is an apocalyptic number.

10205111350512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10205111350512 is an abundant number, since it is smaller than the sum of its proper divisors (21342499264848).

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

10205111350512 is a wasteful number, since it uses less digits than its factorization.

10205111350512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109248 (or 109236 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 10205111350512 in words is "ten trillion, two hundred five billion, one hundred eleven million, three hundred fifty thousand, five hundred twelve".