101000111102201 has 8 divisors (see below), whose sum is σ = 104385168484608. Its totient is φ = 97622990550000.

The previous prime is 101000111102161. The next prime is 101000111102227. The reversal of 101000111102201 is 102201111000101.

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 101000111102201 - 2²² = 101000106907897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000111102801) 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, 1984181675 + ... + 1984232576.

It is an arithmetic number, because the mean of its divisors is an integer number (13048146060576).

Almost surely, 2^{101000111102201} is an apocalyptic number.

It is an amenable number.

101000111102201 is a deficient number, since it is larger than the sum of its proper divisors (3385057382407).

101000111102201 is an equidigital number, since it uses as much as digits as its factorization.

101000111102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968415103.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000111102201 its reverse (102201111000101), we get a palindrome (203201222102302).

The spelling of 101000111102201 in words is "one hundred one trillion, one hundred eleven million, one hundred two thousand, two hundred one".