102012100 has 72 divisors (see below), whose sum is σ = 229672800. Its totient is φ = 39302400.

The previous prime is 102012091. The next prime is 102012133. The reversal of 102012100 is 1210201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569811 + ... + 569989.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2^102012100 is an apocalyptic number.

102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114836400).

102012100 is an abundant number, since it is smaller than the sum of its proper divisors (127660700).

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

102012100 is a wasteful number, since it uses less digits than its factorization.

102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102012100 is about 10100.1039598610. The cubic root of 102012100 is about 467.2513476532.

Adding to 102012100 its reverse (1210201), we get a palindrome (103222301).

The spelling of 102012100 in words is "one hundred two million, twelve thousand, one hundred".