100210206016 has 14 divisors (see below), whose sum is σ = 198854627690. Its totient is φ = 50105102976.

The previous prime is 100210205989. The next prime is 100210206029. The reversal of 100210206016 is 610602012001.

100210206016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 96075201600 + 4135004416 = 309960^2 + 64304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210205984 and 100210206002.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 782892171 + ... + 782892298.

Almost surely, 2^100210206016 is an apocalyptic number.

100210206016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100210206016 is a deficient number, since it is larger than the sum of its proper divisors (98644421674).

100210206016 is an equidigital number, since it uses as much as digits as its factorization.

100210206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565784481 (or 1565784471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100210206016 its reverse (610602012001), we get a palindrome (710812218017).

The spelling of 100210206016 in words is "one hundred billion, two hundred ten million, two hundred six thousand, sixteen".