2010012002100 has 216 divisors, whose sum is σ = 6400606168320. Its totient is φ = 527510880000.

The previous prime is 2010012002099. The next prime is 2010012002153. The reversal of 2010012002100 is 12002100102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22066650 + ... + 22157550.

Almost surely, 2^{2010012002100} is an apocalyptic number.

2010012002100 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 2010012002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200303084160).

2010012002100 is an abundant number, since it is smaller than the sum of its proper divisors (4390594166220).

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

2010012002100 is a wasteful number, since it uses less digits than its factorization.

2010012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91311 (or 91301 counting only the distinct ones).

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

Adding to 2010012002100 its reverse (12002100102), we get a palindrome (2022014102202).

The spelling of 2010012002100 in words is "two trillion, ten billion, twelve million, two thousand, one hundred".