102000312000221 has 4 divisors (see below), whose sum is σ = 102000334654944. Its totient is φ = 102000289345500.

The previous prime is 102000312000217. The next prime is 102000312000233. The reversal of 102000312000221 is 122000213000201.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102000312000221 - 2² = 102000312000217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102000312000196 and 102000312000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000312000241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2030135 + ... + 14426436.

It is an arithmetic number, because the mean of its divisors is an integer number (25500083663736).

Almost surely, 2^{102000312000221} is an apocalyptic number.

It is an amenable number.

102000312000221 is a deficient number, since it is larger than the sum of its proper divisors (22654723).

102000312000221 is an equidigital number, since it uses as much as digits as its factorization.

102000312000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22654722.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102000312000221 its reverse (122000213000201), we get a palindrome (224000525000422).

The spelling of 102000312000221 in words is "one hundred two trillion, three hundred twelve million, two hundred twenty-one", and thus it is an aban number.