102121000101221 has 8 divisors (see below), whose sum is σ = 108129415181400. Its totient is φ = 96112729179648.

The previous prime is 102121000101199. The next prime is 102121000101223. The reversal of 102121000101221 is 122101000121201.

It can be written as a sum of positive squares in 4 ways, for example, as 972420820996 + 101148579280225 = 986114^2 + 10057265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102121000101221 - 2¹⁴ = 102121000084837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121000101196 and 102121000101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121000101223) 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, 34579496 + ... + 37416353.

It is an arithmetic number, because the mean of its divisors is an integer number (13516176897675).

Almost surely, 2^{102121000101221} is an apocalyptic number.

It is an amenable number.

102121000101221 is a deficient number, since it is larger than the sum of its proper divisors (6008415080179).

102121000101221 is an equidigital number, since it uses as much as digits as its factorization.

102121000101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72079303.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121000101221 its reverse (122101000121201), we get a palindrome (224222000222422).

The spelling of 102121000101221 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one thousand, two hundred twenty-one".