2100100210 has 32 divisors (see below), whose sum is σ = 4285229760. Its totient is φ = 734609088.

The previous prime is 2100100181. The next prime is 2100100217. The reversal of 2100100210 is 120010012.

It is a junction number, because it is equal to n+sod(n) for n = 2100100193 and 2100100202.

It is not an unprimeable number, because it can be changed into a prime (2100100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422652 + ... + 427591.

It is an arithmetic number, because the mean of its divisors is an integer number (133913430).

Almost surely, 2^2100100210 is an apocalyptic number.

2100100210 is an abundant number, since it is smaller than the sum of its proper divisors (2185129550).

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

2100100210 is a wasteful number, since it uses less digits than its factorization.

2100100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850282.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2100100210 is about 45826.8503172540. The cubic root of 2100100210 is about 1280.5995340029.

Adding to 2100100210 its reverse (120010012), we get a palindrome (2220110222).

The spelling of 2100100210 in words is "two billion, one hundred million, one hundred thousand, two hundred ten".