102014121 has 32 divisors (see below), whose sum is σ = 151538688. Its totient is φ = 60530240.

The previous prime is 102014117. The next prime is 102014123. The reversal of 102014121 is 121410201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102014121 - 2² = 102014117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102014097 and 102014106.

It is not an unprimeable number, because it can be changed into a prime (102014123) 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, 589591 + ... + 589763.

It is an arithmetic number, because the mean of its divisors is an integer number (4735584).

Almost surely, 2^102014121 is an apocalyptic number.

102014121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102014121 is a deficient number, since it is larger than the sum of its proper divisors (49524567).

102014121 is a wasteful number, since it uses less digits than its factorization.

102014121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102014121 is about 10100.2040078406. The cubic root of 102014121 is about 467.2544332635.

Adding to 102014121 its reverse (121410201), we get a palindrome (223424322).

The spelling of 102014121 in words is "one hundred two million, fourteen thousand, one hundred twenty-one".