102122121020121 has 32 divisors (see below), whose sum is σ = 156221426278400. Its totient is φ = 65864564525520.

The previous prime is 102122121020093. The next prime is 102122121020167. The reversal of 102122121020121 is 121020121221201.

102122121020121 is a `hidden beast` number, since 1 + 0 + 212 + 21 + 210 + 201 + 21 = 666.

102122121020121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102122121020121 - 2⁶ = 102122121020057 is a prime.

It is a super-4 number, since 4×102122121020121⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122121020094 and 102122121020103.

It is not an unprimeable number, because it can be changed into a prime (102122121020921) 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, 16474261 + ... + 21809298.

It is an arithmetic number, because the mean of its divisors is an integer number (4881919571200).

Almost surely, 2^{102122121020121} is an apocalyptic number.

It is an amenable number.

102122121020121 is a deficient number, since it is larger than the sum of its proper divisors (54099305258279).

102122121020121 is a wasteful number, since it uses less digits than its factorization.

102122121020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38286786 (or 38286780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122121020121 its reverse (121020121221201), we get a palindrome (223142242241322).

The spelling of 102122121020121 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty thousand, one hundred twenty-one".