102122021122121 has 64 divisors (see below), whose sum is σ = 138486376014336. Its totient is φ = 72719817984000.

The previous prime is 102122021122103. The next prime is 102122021122127. The reversal of 102122021122121 is 121221120221201.

It is not a de Polignac number, because 102122021122121 - 2³⁴ = 102104841252937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102122021122093 and 102122021122102.

It is not an unprimeable number, because it can be changed into a prime (102122021122127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129960691 + ... + 1130051063.

It is an arithmetic number, because the mean of its divisors is an integer number (2163849625224).

Almost surely, 2^{102122021122121} is an apocalyptic number.

102122021122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122021122121 is a deficient number, since it is larger than the sum of its proper divisors (36364354892215).

102122021122121 is a wasteful number, since it uses less digits than its factorization.

102122021122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101682.

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

Adding to 102122021122121 its reverse (121221120221201), we get a palindrome (223343141343322).

The spelling of 102122021122121 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".