102212122210121 has 32 divisors (see below), whose sum is σ = 129594982440960. Its totient is φ = 78294792528000.

The previous prime is 102212122210069. The next prime is 102212122210123. The reversal of 102212122210121 is 121012221212201.

It is a cyclic number.

It is not a de Polignac number, because 102212122210121 - 2³⁰ = 102211048468297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212122210093 and 102212122210102.

It is not an unprimeable number, because it can be changed into a prime (102212122210123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510065096 + ... + 510265446.

It is an arithmetic number, because the mean of its divisors is an integer number (4049843201280).

Almost surely, 2^{102212122210121} is an apocalyptic number.

102212122210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212122210121 is a deficient number, since it is larger than the sum of its proper divisors (27382860230839).

102212122210121 is a wasteful number, since it uses less digits than its factorization.

102212122210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312725.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102212122210121 its reverse (121012221212201), we get a palindrome (223224343422322).

The spelling of 102212122210121 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty-one".