100101221221993 has 4 divisors (see below), whose sum is σ = 100107381692500. Its totient is φ = 100095060751488.

The previous prime is 100101221221919. The next prime is 100101221221999. The reversal of 100101221221993 is 399122122101001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82025390763369 + 18075830458624 = 9056787^2 + 4251568^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101221221993 - 2⁹ = 100101221221481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101221221999) 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 3 ways as a sum of consecutive naturals, for example, 3080210880 + ... + 3080243377.

It is an arithmetic number, because the mean of its divisors is an integer number (25026845423125).

Almost surely, 2^{100101221221993} is an apocalyptic number.

It is an amenable number.

100101221221993 is a deficient number, since it is larger than the sum of its proper divisors (6160470507).

100101221221993 is an equidigital number, since it uses as much as digits as its factorization.

100101221221993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160470506.

The product of its (nonzero) digits is 3888, while the sum is 34.

Adding to 100101221221993 its reverse (399122122101001), we get a palindrome (499223343322994).

The spelling of 100101221221993 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred ninety-three".