102100100221 has 16 divisors (see below), whose sum is σ = 116866326528. Its totient is φ = 87379110000.

The previous prime is 102100100213. The next prime is 102100100269. The reversal of 102100100221 is 122001001201.

It is not a de Polignac number, because 102100100221 - 2³ = 102100100213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100100198 and 102100100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100100321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17293356 + ... + 17299258.

It is an arithmetic number, because the mean of its divisors is an integer number (7304145408).

Almost surely, 2^102100100221 is an apocalyptic number.

It is an amenable number.

102100100221 is a deficient number, since it is larger than the sum of its proper divisors (14766226307).

102100100221 is a wasteful number, since it uses less digits than its factorization.

102100100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9312.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100100221 its reverse (122001001201), we get a palindrome (224101101422).

The spelling of 102100100221 in words is "one hundred two billion, one hundred million, one hundred thousand, two hundred twenty-one".