102100011221 has 8 divisors (see below), whose sum is σ = 116421732504. Its totient is φ = 88702272000.

The previous prime is 102100011191. The next prime is 102100011227. The reversal of 102100011221 is 122110001201.

It can be written as a sum of positive squares in 4 ways, for example, as 1134948721 + 100965062500 = 33689^2 + 317750^2 .

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 102100011221 - 2¹⁰ = 102100010197 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 (102100011227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230995280 + ... + 230995721.

It is an arithmetic number, because the mean of its divisors is an integer number (14552716563).

Almost surely, 2^102100011221 is an apocalyptic number.

It is an amenable number.

102100011221 is a deficient number, since it is larger than the sum of its proper divisors (14321721283).

102100011221 is a wasteful number, since it uses less digits than its factorization.

102100011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461991031.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100011221 its reverse (122110001201), we get a palindrome (224210012422).

The spelling of 102100011221 in words is "one hundred two billion, one hundred million, eleven thousand, two hundred twenty-one".