100221202001101 has 8 divisors (see below), whose sum is σ = 100413301910240. Its totient is φ = 100029103895952.

The previous prime is 100221202001093. The next prime is 100221202001111. The reversal of 100221202001101 is 101100202122001.

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 100221202001101 - 2³ = 100221202001093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221202001111) 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, 179284090 + ... + 179842228.

It is an arithmetic number, because the mean of its divisors is an integer number (12551662738780).

Almost surely, 2^{100221202001101} is an apocalyptic number.

It is an amenable number.

100221202001101 is a deficient number, since it is larger than the sum of its proper divisors (192099909139).

100221202001101 is an equidigital number, since it uses as much as digits as its factorization.

100221202001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901995.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221202001101 its reverse (101100202122001), we get a palindrome (201321404123102).

The spelling of 100221202001101 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, one thousand, one hundred one".