100010201102201 has 32 divisors (see below), whose sum is σ = 108421398439200. Its totient is φ = 91703789568000.

The previous prime is 100010201102111. The next prime is 100010201102291. The reversal of 100010201102201 is 102201102010001.

It is an interprime number because it is at equal distance from previous prime (100010201102111) and next prime (100010201102291).

It can be written as a sum of positive squares in 16 ways, for example, as 30409974946576 + 69600226155625 = 5514524^2 + 8342675^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010201102201 - 2¹⁰ = 100010201101177 is a prime.

It is a super-2 number, since 2×100010201102201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010201102291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2146072301 + ... + 2146118901.

It is an arithmetic number, because the mean of its divisors is an integer number (3388168701225).

Almost surely, 2^{100010201102201} is an apocalyptic number.

It is an amenable number.

100010201102201 is a deficient number, since it is larger than the sum of its proper divisors (8411197336999).

100010201102201 is a wasteful number, since it uses less digits than its factorization.

100010201102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48557.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010201102201 its reverse (102201102010001), we get a palindrome (202211303112202).

The spelling of 100010201102201 in words is "one hundred trillion, ten billion, two hundred one million, one hundred two thousand, two hundred one".