10000111102201 has 16 divisors (see below), whose sum is σ = 11248127877888. Its totient is φ = 8811808059600.

The previous prime is 10000111102199. The next prime is 10000111102321. The reversal of 10000111102201 is 10220111100001.

It is a cyclic number.

It is not a de Polignac number, because 10000111102201 - 2¹ = 10000111102199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000111102801) 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, 80632251 + ... + 80756176.

It is an arithmetic number, because the mean of its divisors is an integer number (703007992368).

Almost surely, 2^{10000111102201} is an apocalyptic number.

10000111102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000111102201 is a deficient number, since it is larger than the sum of its proper divisors (1248016775687).

10000111102201 is a wasteful number, since it uses less digits than its factorization.

10000111102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161388612.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000111102201 its reverse (10220111100001), we get a palindrome (20220222202202).

The spelling of 10000111102201 in words is "ten trillion, one hundred eleven million, one hundred two thousand, two hundred one".