100202000 has 40 divisors (see below), whose sum is σ = 242293272. Its totient is φ = 40080000.

The previous prime is 100201993. The next prime is 100202009. The reversal of 100202000 is 202001.

It can be written as a sum of positive squares in 4 ways, for example, as 16516096 + 83685904 = 4064^2 + 9148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (100202009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23051 + ... + 27050.

Almost surely, 2^100202000 is an apocalyptic number.

100202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202000 is an abundant number, since it is smaller than the sum of its proper divisors (142091272).

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

100202000 is an equidigital number, since it uses as much as digits as its factorization.

100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50124 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 100202000 is about 10010.0949046450. The cubic root of 100202000 is about 464.4712068059.

Adding to 100202000 its reverse (202001), we get a palindrome (100404001).

Subtracting from 100202000 its reverse (202001), we obtain a palindrome (99999999).

The spelling of 100202000 in words is "one hundred million, two hundred two thousand".