10200112102001 has 16 divisors (see below), whose sum is σ = 10264885735104. Its totient is φ = 10135569967104.

The previous prime is 10200112101997. The next prime is 10200112102003. The reversal of 10200112102001 is 10020121100201.

It is not a de Polignac number, because 10200112102001 - 2² = 10200112101997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200112102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205221185 + ... + 205270881.

It is an arithmetic number, because the mean of its divisors is an integer number (641555358444).

Almost surely, 2^{10200112102001} is an apocalyptic number.

It is an amenable number.

10200112102001 is a deficient number, since it is larger than the sum of its proper divisors (64773633103).

10200112102001 is a wasteful number, since it uses less digits than its factorization.

10200112102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52000.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10200112102001 its reverse (10020121100201), we get a palindrome (20220233202202).

The spelling of 10200112102001 in words is "ten trillion, two hundred billion, one hundred twelve million, one hundred two thousand, one".