1000001002100 has 36 divisors (see below), whose sum is σ = 2170067046924. Its totient is φ = 399988442880.

The previous prime is 1000001002043. The next prime is 1000001002109. The reversal of 1000001002100 is 12001000001.

It is a happy number.

1000001002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 449902879504 + 550098122596 = 670748^2 + 741686^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000001002109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3707414 + ... + 3967986.

Almost surely, 2^{1000001002100} is an apocalyptic number.

1000001002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000001002100 is an abundant number, since it is smaller than the sum of its proper divisors (1170066044824).

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

1000001002100 is a wasteful number, since it uses less digits than its factorization.

1000001002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298964 (or 298957 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1000001002100 its reverse (12001000001), we get a palindrome (1012002002101).

The spelling of 1000001002100 in words is "one trillion, one million, two thousand, one hundred".