2012132002100 has 108 divisors (see below), whose sum is σ = 4800920679744. Its totient is φ = 731445000000.

The previous prime is 2012132002091. The next prime is 2012132002103. The reversal of 2012132002100 is 12002312102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012132002103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39311525 + ... + 39362675.

Almost surely, 2^{2012132002100} is an apocalyptic number.

2012132002100 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 2012132002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400460339872).

2012132002100 is an abundant number, since it is smaller than the sum of its proper divisors (2788788677644).

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

2012132002100 is a wasteful number, since it uses less digits than its factorization.

2012132002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54438 (or 54420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2012132002100 its reverse (12002312102), we get a palindrome (2024134314202).

The spelling of 2012132002100 in words is "two trillion, twelve billion, one hundred thirty-two million, two thousand, one hundred".