102212112120121 has 16 divisors (see below), whose sum is σ = 105763280578560. Its totient is φ = 98662721431680.

The previous prime is 102212112120049. The next prime is 102212112120127. The reversal of 102212112120121 is 121021211212201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102212112120121 - 2³⁵ = 102177752381753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212112120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200879261 + ... + 2200925701.

It is an arithmetic number, because the mean of its divisors is an integer number (6610205036160).

Almost surely, 2^{102212112120121} is an apocalyptic number.

It is an amenable number.

102212112120121 is a deficient number, since it is larger than the sum of its proper divisors (3551168458439).

102212112120121 is an equidigital number, since it uses as much as digits as its factorization.

102212112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63936.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102212112120121 its reverse (121021211212201), we get a palindrome (223233323332322).

The spelling of 102212112120121 in words is "one hundred two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".