102012111200221 has 8 divisors (see below), whose sum is σ = 102031205052920. Its totient is φ = 101993018787072.

The previous prime is 102012111200201. The next prime is 102012111200267. The reversal of 102012111200221 is 122002111210201.

It can be written as a sum of positive squares in 4 ways, for example, as 24182927452996 + 77829183747225 = 4917614^2 + 8822085^2 .

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 102012111200221 - 2³⁹ = 101462355386333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102012111200195 and 102012111200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012111200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146982211 + ... + 147674623.

It is an arithmetic number, because the mean of its divisors is an integer number (12753900631615).

Almost surely, 2^{102012111200221} is an apocalyptic number.

It is an amenable number.

102012111200221 is a deficient number, since it is larger than the sum of its proper divisors (19093852699).

102012111200221 is an equidigital number, since it uses as much as digits as its factorization.

102012111200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719775.

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

Adding to 102012111200221 its reverse (122002111210201), we get a palindrome (224014222410422).

The spelling of 102012111200221 in words is "one hundred two trillion, twelve billion, one hundred eleven million, two hundred thousand, two hundred twenty-one".