101680517210 has 32 divisors (see below), whose sum is σ = 183724906752. Its totient is φ = 40516902720.

The previous prime is 101680517203. The next prime is 101680517269. The reversal of 101680517210 is 12715086101.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3438749 + ... + 3468191.

It is an arithmetic number, because the mean of its divisors is an integer number (5741403336).

Almost surely, 2^101680517210 is an apocalyptic number.

101680517210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101680517210 is a deficient number, since it is larger than the sum of its proper divisors (82044389542).

101680517210 is a wasteful number, since it uses less digits than its factorization.

101680517210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30758.

The product of its (nonzero) digits is 3360, while the sum is 32.

The spelling of 101680517210 in words is "one hundred one billion, six hundred eighty million, five hundred seventeen thousand, two hundred ten".