100201210113 has 16 divisors (see below), whose sum is σ = 135031582400. Its totient is φ = 66087679680.

The previous prime is 100201210103. The next prime is 100201210121. The reversal of 100201210113 is 311012102001.

It is not a de Polignac number, because 100201210113 - 2⁴ = 100201210097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201210103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15643 + ... + 447936.

It is an arithmetic number, because the mean of its divisors is an integer number (8439473900).

Almost surely, 2^100201210113 is an apocalyptic number.

It is an amenable number.

100201210113 is a deficient number, since it is larger than the sum of its proper divisors (34830372287).

100201210113 is a wasteful number, since it uses less digits than its factorization.

100201210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464352.

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

Adding to 100201210113 its reverse (311012102001), we get a palindrome (411213312114).

The spelling of 100201210113 in words is "one hundred billion, two hundred one million, two hundred ten thousand, one hundred thirteen".