100002100 has 36 divisors (see below), whose sum is σ = 236734848. Its totient is φ = 36364000.

The previous prime is 100002059. The next prime is 100002103. The reversal of 100002100 is 1200001.

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

100002100 is a modest number, since divided by 2100 gives 100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44356 + ... + 46555.

It is an arithmetic number, because the mean of its divisors is an integer number (6575968).

Almost surely, 2^100002100 is an apocalyptic number.

100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002100 is an abundant number, since it is smaller than the sum of its proper divisors (136732748).

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

100002100 is a wasteful number, since it uses less digits than its factorization.

100002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90936 (or 90929 counting only the distinct ones).

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

The square root of 100002100 is about 10000.1049994488. The cubic root of 100002100 is about 464.1621324507.

Adding to 100002100 its reverse (1200001), we get a palindrome (101202101).

It can be divided in two parts, 10000 and 2100, that added together give a square (12100 = 110²).

The spelling of 100002100 in words is "one hundred million, two thousand, one hundred".