2102102000100 has 108 divisors (see below), whose sum is σ = 6607802355700. Its totient is φ = 558954259200.

The previous prime is 2102102000099. The next prime is 2102102000111. The reversal of 2102102000100 is 10002012012.

It can be written as a sum of positive squares in 6 ways, for example, as 38701905984 + 2063400094116 = 196728^2 + 1436454^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3032131 + ... + 3660330.

Almost surely, 2^{2102102000100} is an apocalyptic number.

2102102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102102000100 is an abundant number, since it is smaller than the sum of its proper divisors (4505700355600).

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

2102102000100 is a wasteful number, since it uses less digits than its factorization.

2102102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692830 (or 6692820 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2102102000100 its reverse (10002012012), we get a palindrome (2112104012112).

The spelling of 2102102000100 in words is "two trillion, one hundred two billion, one hundred two million, one hundred", and thus it is an aban number.