2000102212100 has 108 divisors (see below), whose sum is σ = 4621223860764. Its totient is φ = 751235973120.

The previous prime is 2000102212093. The next prime is 2000102212123. The reversal of 2000102212100 is 12122010002.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1750006202884 + 250096009216 = 1322878^2 + 500096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12433784 + ... + 12593616.

Almost surely, 2^{2000102212100} is an apocalyptic number.

2000102212100 is a gapful number since it is divisible by the number (20) 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 2000102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310611930382).

2000102212100 is an abundant number, since it is smaller than the sum of its proper divisors (2621121648664).

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

2000102212100 is a wasteful number, since it uses less digits than its factorization.

2000102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160314 (or 160290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000102212100 its reverse (12122010002), we get a palindrome (2012224222102).

The spelling of 2000102212100 in words is "two trillion, one hundred two million, two hundred twelve thousand, one hundred".