102221002011121 has 8 divisors (see below), whose sum is σ = 116824138418624. Its totient is φ = 87617899633680.

The previous prime is 102221002011067. The next prime is 102221002011143. The reversal of 102221002011121 is 121110200122201.

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 102221002011121 - 2¹⁵ = 102221001978353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221002011095 and 102221002011104.

It is not an unprimeable number, because it can be changed into a prime (102221002311121) 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, 1708455 + ... + 14400028.

It is an arithmetic number, because the mean of its divisors is an integer number (14603017302328).

Almost surely, 2^{102221002011121} is an apocalyptic number.

It is an amenable number.

102221002011121 is a deficient number, since it is larger than the sum of its proper divisors (14603136407503).

102221002011121 is an equidigital number, since it uses as much as digits as its factorization.

102221002011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17015031.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102221002011121 its reverse (121110200122201), we get a palindrome (223331202133322).

It can be divided in two parts, 10222100 and 2011121, that added together give a palindrome (12233221).

The spelling of 102221002011121 in words is "one hundred two trillion, two hundred twenty-one billion, two million, eleven thousand, one hundred twenty-one".