102127120 has 20 divisors (see below), whose sum is σ = 237445740. Its totient is φ = 40850816.

The previous prime is 102127097. The next prime is 102127139. The reversal of 102127120 is 21721201.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 33965584 = 8256^2 + 5828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102127094 and 102127103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638215 + ... + 638374.

It is an arithmetic number, because the mean of its divisors is an integer number (11872287).

Almost surely, 2^102127120 is an apocalyptic number.

102127120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102127120 is an abundant number, since it is smaller than the sum of its proper divisors (135318620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102127120 is a wasteful number, since it uses less digits than its factorization.

102127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276602 (or 1276596 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 102127120 is about 10105.7963565471. The cubic root of 102127120 is about 467.4268923971.

Adding to 102127120 its reverse (21721201), we get a palindrome (123848321).

The spelling of 102127120 in words is "one hundred two million, one hundred twenty-seven thousand, one hundred twenty".