3402001002100 has 36 divisors (see below), whose sum is σ = 7382511002944. Its totient is φ = 1360769280480.

The previous prime is 3402001002089. The next prime is 3402001002131. The reversal of 3402001002100 is 12001002043.

3402001002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3402001002100³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4284949 + ... + 5016451.

Almost surely, 2^{3402001002100} is an apocalyptic number.

It is an amenable number.

3402001002100 is an abundant number, since it is smaller than the sum of its proper divisors (3980510000844).

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

3402001002100 is a wasteful number, since it uses less digits than its factorization.

3402001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778024 (or 778017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 3402001002100 its reverse (12001002043), we get a palindrome (3414002004143).

The spelling of 3402001002100 in words is "three trillion, four hundred two billion, one million, two thousand, one hundred".