102119121 has 24 divisors (see below), whose sum is σ = 164335080. Its totient is φ = 60673536.

The previous prime is 102119111. The next prime is 102119123. The reversal of 102119121 is 121911201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1718721 + 100400400 = 1311^2 + 10020^2 .

It is not a de Polignac number, because 102119121 - 2⁵ = 102119089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102119094 and 102119103.

It is not an unprimeable number, because it can be changed into a prime (102119123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11656 + ... + 18441.

It is an arithmetic number, because the mean of its divisors is an integer number (6847295).

Almost surely, 2^102119121 is an apocalyptic number.

It is an amenable number.

102119121 is a deficient number, since it is larger than the sum of its proper divisors (62215959).

102119121 is a wasteful number, since it uses less digits than its factorization.

102119121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30145 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 102119121 is about 10105.4005858254. The cubic root of 102119121 is about 467.4146885041.

The spelling of 102119121 in words is "one hundred two million, one hundred nineteen thousand, one hundred twenty-one".