10000201100213 has 16 divisors (see below), whose sum is σ = 10566314868480. Its totient is φ = 9450675089856.

The previous prime is 10000201100203. The next prime is 10000201100237. The reversal of 10000201100213 is 31200110200001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000201100213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000201100194 and 10000201100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000201100203) 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, 16085981 + ... + 16696082.

It is an arithmetic number, because the mean of its divisors is an integer number (660394679280).

Almost surely, 2^{10000201100213} is an apocalyptic number.

It is an amenable number.

10000201100213 is a deficient number, since it is larger than the sum of its proper divisors (566113768267).

10000201100213 is a wasteful number, since it uses less digits than its factorization.

10000201100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32782316.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10000201100213 its reverse (31200110200001), we get a palindrome (41200311300214).

The spelling of 10000201100213 in words is "ten trillion, two hundred one million, one hundred thousand, two hundred thirteen".