2102001100100 has 72 divisors (see below), whose sum is σ = 5136526407936. Its totient is φ = 739707120000.

The previous prime is 2102001100099. The next prime is 2102001100109. The reversal of 2102001100100 is 10011002012.

It is a super-2 number, since 2×2102001100100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102001100109) 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 23 ways as a sum of consecutive naturals, for example, 30787031 + ... + 30855230.

Almost surely, 2^{2102001100100} is an apocalyptic number.

2102001100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102001100100 is an abundant number, since it is smaller than the sum of its proper divisors (3034525307836).

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

2102001100100 is a wasteful number, since it uses less digits than its factorization.

2102001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61642317 (or 61642310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2102001100100 its reverse (10011002012), we get a palindrome (2112012102112).

The spelling of 2102001100100 in words is "two trillion, one hundred two billion, one million, one hundred thousand, one hundred".