10002100221 has 48 divisors (see below), whose sum is σ = 15368790528. Its totient is φ = 6259680000.

The previous prime is 10002100219. The next prime is 10002100231. The reversal of 10002100221 is 12200120001.

It is not a de Polignac number, because 10002100221 - 2¹ = 10002100219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002100231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1106721 + ... + 1115721.

It is an arithmetic number, because the mean of its divisors is an integer number (320183136).

Almost surely, 2^10002100221 is an apocalyptic number.

It is an amenable number.

10002100221 is a deficient number, since it is larger than the sum of its proper divisors (5366690307).

10002100221 is a wasteful number, since it uses less digits than its factorization.

10002100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002100221 its reverse (12200120001), we get a palindrome (22202220222).

The spelling of 10002100221 in words is "ten billion, two million, one hundred thousand, two hundred twenty-one".