10002100221993 has 32 divisors (see below), whose sum is σ = 14629957171200. Its totient is φ = 6028037040960.

The previous prime is 10002100221973. The next prime is 10002100222033. The reversal of 10002100221993 is 39912200120001.

It is not a de Polignac number, because 10002100221993 - 2⁵ = 10002100221961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002100221993.

It is not an unprimeable number, because it can be changed into a prime (10002100221973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043546 + ... + 5409932.

It is an arithmetic number, because the mean of its divisors is an integer number (457186161600).

Almost surely, 2^{10002100221993} is an apocalyptic number.

It is an amenable number.

10002100221993 is a deficient number, since it is larger than the sum of its proper divisors (4627856949207).

10002100221993 is a wasteful number, since it uses less digits than its factorization.

10002100221993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367117.

The product of its (nonzero) digits is 1944, while the sum is 30.

Adding to 10002100221993 its reverse (39912200120001), we get a palindrome (49914300341994).

The spelling of 10002100221993 in words is "ten trillion, two billion, one hundred million, two hundred twenty-one thousand, nine hundred ninety-three".