100110020012201 has 8 divisors (see below), whose sum is σ = 102001486290120. Its totient is φ = 98218649955712.

The previous prime is 100110020012161. The next prime is 100110020012263. The reversal of 100110020012201 is 102210020011001.

It can be written as a sum of positive squares in 4 ways, for example, as 60142336012201 + 39967684000000 = 7755149^2 + 6322000^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100110020012201 - 2⁶ = 100110020012137 is a prime.

It is a super-2 number, since 2×100110020012201² (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 (100110020012501) 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, 21953156 + ... + 26118213.

It is an arithmetic number, because the mean of its divisors is an integer number (12750185786265).

Almost surely, 2^{100110020012201} is an apocalyptic number.

It is an amenable number.

100110020012201 is a deficient number, since it is larger than the sum of its proper divisors (1891466277919).

100110020012201 is an equidigital number, since it uses as much as digits as its factorization.

100110020012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48110715.

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

Adding to 100110020012201 its reverse (102210020011001), we get a palindrome (202320040023202).

The spelling of 100110020012201 in words is "one hundred trillion, one hundred ten billion, twenty million, twelve thousand, two hundred one".