102121212222121 has 8 divisors (see below), whose sum is σ = 108271180335240. Its totient is φ = 95987114995968.

The previous prime is 102121212222097. The next prime is 102121212222203. The reversal of 102121212222121 is 121222212121201.

It can be written as a sum of positive squares in 4 ways, for example, as 39350278080400 + 62770934141721 = 6272980^2 + 7922811^2 .

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 102121212222121 - 2⁷ = 102121212221993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102121212222092 and 102121212222101.

It is not an unprimeable number, because it can be changed into a prime (102121212222221) 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, 3967708486 + ... + 3967734223.

It is an arithmetic number, because the mean of its divisors is an integer number (13533897541905).

Almost surely, 2^{102121212222121} is an apocalyptic number.

It is an amenable number.

102121212222121 is a deficient number, since it is larger than the sum of its proper divisors (6149968113119).

102121212222121 is an equidigital number, since it uses as much as digits as its factorization.

102121212222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935443483.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 102121212222121 its reverse (121222212121201), we get a palindrome (223343424343322).

The spelling of 102121212222121 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty-one".