10001100002201 has 16 divisors (see below), whose sum is σ = 12592358402688. Its totient is φ = 7715905872000.

The previous prime is 10001100002147. The next prime is 10001100002207. The reversal of 10001100002201 is 10220000110001.

It is a cyclic number.

It is not a de Polignac number, because 10001100002201 - 2¹⁰ = 10001100001177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001100002207) 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, 642984380 + ... + 642999933.

It is an arithmetic number, because the mean of its divisors is an integer number (787022400168).

Almost surely, 2^{10001100002201} is an apocalyptic number.

10001100002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001100002201 is a deficient number, since it is larger than the sum of its proper divisors (2591258400487).

10001100002201 is a wasteful number, since it uses less digits than its factorization.

10001100002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285984432.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001100002201 its reverse (10220000110001), we get a palindrome (20221100112202).

The spelling of 10001100002201 in words is "ten trillion, one billion, one hundred million, two thousand, two hundred one".