1012100002201 has 8 divisors (see below), whose sum is σ = 1023715432008. Its totient is φ = 1000515840000.

The previous prime is 1012100002129. The next prime is 1012100002217. The reversal of 1012100002201 is 1022000012101.

It can be written as a sum of positive squares in 4 ways, for example, as 371275736976 + 640824265225 = 609324^2 + 800515^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012100002201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012100002231) 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 7 ways as a sum of consecutive naturals, for example, 7751790 + ... + 7881271.

It is an arithmetic number, because the mean of its divisors is an integer number (127964429001).

Almost surely, 2^{1012100002201} is an apocalyptic number.

It is an amenable number.

1012100002201 is a deficient number, since it is larger than the sum of its proper divisors (11615429807).

1012100002201 is a wasteful number, since it uses less digits than its factorization.

1012100002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633803.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012100002201 its reverse (1022000012101), we get a palindrome (2034100014302).

The spelling of 1012100002201 in words is "one trillion, twelve billion, one hundred million, two thousand, two hundred one".