2102001001100 has 864 divisors, whose sum is σ = 6397655273856. Its totient is φ = 582912000000.

The previous prime is 2102001001057. The next prime is 2102001001127. The reversal of 2102001001100 is 11001002012.

It is a super-3 number, since 3×2102001001100³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 4559654870 + ... + 4559655330.

It is an arithmetic number, because the mean of its divisors is an integer number (7404693604).

Almost surely, 2^{2102001001100} is an apocalyptic number.

2102001001100 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 2102001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198827636928).

2102001001100 is an abundant number, since it is smaller than the sum of its proper divisors (4295654272756).

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

2102001001100 is a wasteful number, since it uses less digits than its factorization.

2102001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

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

Adding to 2102001001100 its reverse (11001002012), we get a palindrome (2113002003112).

The spelling of 2102001001100 in words is "two trillion, one hundred two billion, one million, one thousand, one hundred".