101332100 has 18 divisors (see below), whose sum is σ = 219890874. Its totient is φ = 40532800.

The previous prime is 101332097. The next prime is 101332109. The reversal of 101332100 is 1233101.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 101324356 = 88^2 + 10066^2 .

It is not an unprimeable number, because it can be changed into a prime (101332109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506561 + ... + 506760.

Almost surely, 2^101332100 is an apocalyptic number.

101332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332100 is an abundant number, since it is smaller than the sum of its proper divisors (118558774).

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

101332100 is a wasteful number, since it uses less digits than its factorization.

101332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013335 (or 1013328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 101332100 is about 10066.3846538864. The cubic root of 101332100 is about 466.2108190379.

Adding to 101332100 its reverse (1233101), we get a palindrome (102565201).

The spelling of 101332100 in words is "one hundred one million, three hundred thirty-two thousand, one hundred".