100010211112201 has 16 divisors (see below), whose sum is σ = 111342417999120. Its totient is φ = 89239192058880.

The previous prime is 100010211112187. The next prime is 100010211112213. The reversal of 100010211112201 is 102211112010001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23965724430400 + 76044486681801 = 4895480^2 + 8720349^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010211112201 - 2⁵ = 100010211112169 is a prime.

It is a super-2 number, since 2×100010211112201² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010211112241) 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, 860659420 + ... + 860775613.

It is an arithmetic number, because the mean of its divisors is an integer number (6958901124945).

Almost surely, 2^{100010211112201} is an apocalyptic number.

It is an amenable number.

100010211112201 is a deficient number, since it is larger than the sum of its proper divisors (11332206886919).

100010211112201 is a wasteful number, since it uses less digits than its factorization.

100010211112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721435196.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100010211112201 its reverse (102211112010001), we get a palindrome (202221323122202).

The spelling of 100010211112201 in words is "one hundred trillion, ten billion, two hundred eleven million, one hundred twelve thousand, two hundred one".