100211000 has 64 divisors (see below), whose sum is σ = 244745280. Its totient is φ = 38332800.

The previous prime is 100210987. The next prime is 100211009. The reversal of 100211000 is 112001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20822 + ... + 25178.

It is an arithmetic number, because the mean of its divisors is an integer number (3824145).

Almost surely, 2^100211000 is an apocalyptic number.

100211000 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 100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122372640).

100211000 is an abundant number, since it is smaller than the sum of its proper divisors (144534280).

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

100211000 is a wasteful number, since it uses less digits than its factorization.

100211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 100211000 is about 10010.5444407385. The cubic root of 100211000 is about 464.4851124356.

Adding to 100211000 its reverse (112001), we get a palindrome (100323001).

The spelling of 100211000 in words is "one hundred million, two hundred eleven thousand".