10000100211201 has 12 divisors (see below), whose sum is σ = 14445142732800. Its totient is φ = 6666477994680.

The previous prime is 10000100211191. The next prime is 10000100211203. The reversal of 10000100211201 is 10211200100001.

It is a happy number.

It is not a de Polignac number, because 10000100211201 - 2⁹ = 10000100210689 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000100211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21041901 + ... + 21511898.

It is an arithmetic number, because the mean of its divisors is an integer number (1203761894400).

Almost surely, 2^{10000100211201} is an apocalyptic number.

It is an amenable number.

10000100211201 is a deficient number, since it is larger than the sum of its proper divisors (4445042521599).

10000100211201 is a wasteful number, since it uses less digits than its factorization.

10000100211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42579916 (or 42579913 counting only the distinct ones).

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

Adding to 10000100211201 its reverse (10211200100001), we get a palindrome (20211300311202).

The spelling of 10000100211201 in words is "ten trillion, one hundred million, two hundred eleven thousand, two hundred one".