2000102100 has 72 divisors (see below), whose sum is σ = 5792525088. Its totient is φ = 532848000.

The previous prime is 2000102033. The next prime is 2000102119. The reversal of 2000102100 is 12010002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389550 + ... + 394650.

Almost surely, 2^2000102100 is an apocalyptic number.

2000102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000102100 is an abundant number, since it is smaller than the sum of its proper divisors (3792422988).

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

2000102100 is a wasteful number, since it uses less digits than its factorization.

2000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000102100 is about 44722.5010481301. The cubic root of 2000102100 is about 1259.9424891866.

Adding to 2000102100 its reverse (12010002), we get a palindrome (2012112102).

The spelling of 2000102100 in words is "two billion, one hundred two thousand, one hundred".