101988100 has 54 divisors (see below), whose sum is σ = 235165070. Its totient is φ = 38384640.

The previous prime is 101988091. The next prime is 101988101. The reversal of 101988100 is 1889101.

It can be written as a sum of positive squares in 9 ways, for example, as 21455424 + 80532676 = 4632^2 + 8974^2 .

It is a super-2 number, since 2×101988100² = 20803145083220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101988101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27136 + ... + 30664.

Almost surely, 2^101988100 is an apocalyptic number.

101988100 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 101988100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117582535).

101988100 is an abundant number, since it is smaller than the sum of its proper divisors (133176970).

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

101988100 is a wasteful number, since it uses less digits than its factorization.

101988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The square root of 101988100 is about 10098.9157833898. The cubic root of 101988100 is about 467.2147019616.

The spelling of 101988100 in words is "one hundred one million, nine hundred eighty-eight thousand, one hundred".