102000221001121 has 8 divisors (see below), whose sum is σ = 103255904471400. Its totient is φ = 100746973388160.

The previous prime is 102000221001113. The next prime is 102000221001137. The reversal of 102000221001121 is 121100122000201.

It can be written as a sum of positive squares in 4 ways, for example, as 365191784721 + 101635029216400 = 604311^2 + 10081420^2 .

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 102000221001121 - 2³ = 102000221001113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000221001221) 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, 608880066 + ... + 609047563.

It is an arithmetic number, because the mean of its divisors is an integer number (12906988058925).

Almost surely, 2^{102000221001121} is an apocalyptic number.

It is an amenable number.

102000221001121 is a deficient number, since it is larger than the sum of its proper divisors (1255683470279).

102000221001121 is an equidigital number, since it uses as much as digits as its factorization.

102000221001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217928659.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102000221001121 its reverse (121100122000201), we get a palindrome (223100343001322).

The spelling of 102000221001121 in words is "one hundred two trillion, two hundred twenty-one million, one thousand, one hundred twenty-one".