100201000 has 64 divisors (see below), whose sum is σ = 237116880. Its totient is φ = 39628800.

The previous prime is 100200967. The next prime is 100201037. The reversal of 100201000 is 102001.

It can be written as a sum of positive squares in 8 ways, for example, as 19236996 + 80964004 = 4386^2 + 8998^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96484 + ... + 97516.

Almost surely, 2^100201000 is an apocalyptic number.

100201000 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 100201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118558440).

100201000 is an abundant number, since it is smaller than the sum of its proper divisors (136915880).

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

100201000 is a wasteful number, since it uses less digits than its factorization.

100201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 100201000 is about 10010.0449549440. The cubic root of 100201000 is about 464.4696616846.

Adding to 100201000 its reverse (102001), we get a palindrome (100303001).

The spelling of 100201000 in words is "one hundred million, two hundred one thousand".