10000001112201 has 32 divisors (see below), whose sum is σ = 14909723136000. Its totient is φ = 6624007369344.

The previous prime is 10000001112139. The next prime is 10000001112281. The reversal of 10000001112201 is 10221110000001.

It is a happy number.

It is not a de Polignac number, because 10000001112201 - 2²⁷ = 9999866894473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000001112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6850360 + ... + 8180918.

It is an arithmetic number, because the mean of its divisors is an integer number (465928848000).

Almost surely, 2^{10000001112201} is an apocalyptic number.

It is an amenable number.

10000001112201 is a deficient number, since it is larger than the sum of its proper divisors (4909722023799).

10000001112201 is a wasteful number, since it uses less digits than its factorization.

10000001112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332350 (or 1332344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000001112201 its reverse (10221110000001), we get a palindrome (20221111112202).

The spelling of 10000001112201 in words is "ten trillion, one million, one hundred twelve thousand, two hundred one".