101128329 has 12 divisors (see below), whose sum is σ = 146241732. Its totient is φ = 67341600.

The previous prime is 101128327. The next prime is 101128337. The reversal of 101128329 is 923821101.

It can be written as a sum of positive squares in 2 ways, for example, as 44156025 + 56972304 = 6645^2 + 7548^2 .

It is not a de Polignac number, because 101128329 - 2¹ = 101128327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101128327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2499 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (12186811).

Almost surely, 2^101128329 is an apocalyptic number.

It is an amenable number.

101128329 is a deficient number, since it is larger than the sum of its proper divisors (45113403).

101128329 is a wasteful number, since it uses less digits than its factorization.

101128329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12885 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101128329 is about 10056.2582007425. The cubic root of 101128329 is about 465.8981047206.

The spelling of 101128329 in words is "one hundred one million, one hundred twenty-eight thousand, three hundred twenty-nine".