102121875 has 36 divisors (see below), whose sum is σ = 184425696. Its totient is φ = 54450000.

The previous prime is 102121871. The next prime is 102121879. The reversal of 102121875 is 578121201.

It is an interprime number because it is at equal distance from previous prime (102121871) and next prime (102121879).

It is not a de Polignac number, because 102121875 - 2² = 102121871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102121871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26310 + ... + 29940.

It is an arithmetic number, because the mean of its divisors is an integer number (5122936).

Almost surely, 2^102121875 is an apocalyptic number.

102121875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102121875 is a deficient number, since it is larger than the sum of its proper divisors (82303821).

102121875 is an frugal number, since it uses more digits than its factorization.

102121875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 102121875 is about 10105.5368486786. The cubic root of 102121875 is about 467.4188902915.

The spelling of 102121875 in words is "one hundred two million, one hundred twenty-one thousand, eight hundred seventy-five".