2000102200100 has 72 divisors (see below), whose sum is σ = 4352605868520. Its totient is φ = 797759288320.

The previous prime is 2000102200091. The next prime is 2000102200111. The reversal of 2000102200100 is 10022010002.

It can be written as a sum of positive squares in 12 ways, for example, as 273464151844 + 1726638048256 = 522938^2 + 1314016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241059152 + ... + 241067448.

It is an arithmetic number, because the mean of its divisors is an integer number (60452859285).

Almost surely, 2^{2000102200100} is an apocalyptic number.

2000102200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000102200100 is an abundant number, since it is smaller than the sum of its proper divisors (2352503668420).

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

2000102200100 is a wasteful number, since it uses less digits than its factorization.

2000102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2000102200100 its reverse (10022010002), we get a palindrome (2010124210102).

The spelling of 2000102200100 in words is "two trillion, one hundred two million, two hundred thousand, one hundred".