101328100 has 36 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 40420000.

The previous prime is 101328091. The next prime is 101328131. The reversal of 101328100 is 1823101.

It is a super-2 number, since 2×101328100² = 20534767699220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41925 + ... + 44275.

It is an arithmetic number, because the mean of its divisors is an integer number (6124608).

Almost surely, 2^101328100 is an apocalyptic number.

101328100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101328100 is an abundant number, since it is smaller than the sum of its proper divisors (119157788).

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

101328100 is a wasteful number, since it uses less digits than its factorization.

101328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101328100 is about 10066.1859708630. The cubic root of 101328100 is about 466.2046845296.

The spelling of 101328100 in words is "one hundred one million, three hundred twenty-eight thousand, one hundred".