100110100021201 has 8 divisors (see below), whose sum is σ = 100852922896200. Its totient is φ = 99369587638272.

The previous prime is 100110100021171. The next prime is 100110100021229. The reversal of 100110100021201 is 102120001011001.

It can be written as a sum of positive squares in 4 ways, for example, as 12382973913025 + 87727126108176 = 3518945^2 + 9366276^2 .

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-100110100021201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110100021271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577536040 + ... + 577709353.

It is an arithmetic number, because the mean of its divisors is an integer number (12606615362025).

Almost surely, 2^{100110100021201} is an apocalyptic number.

It is an amenable number.

100110100021201 is a deficient number, since it is larger than the sum of its proper divisors (742822874999).

100110100021201 is a wasteful number, since it uses less digits than its factorization.

100110100021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155246035.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110100021201 its reverse (102120001011001), we get a palindrome (202230101032202).

The spelling of 100110100021201 in words is "one hundred trillion, one hundred ten billion, one hundred million, twenty-one thousand, two hundred one".