2012100002120 has 128 divisors (see below), whose sum is σ = 4943284416000. Its totient is φ = 732619330560.

The previous prime is 2012100002089. The next prime is 2012100002137. The reversal of 2012100002120 is 212000012102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33696851 + ... + 33756509.

It is an arithmetic number, because the mean of its divisors is an integer number (38619409500).

Almost surely, 2^{2012100002120} is an apocalyptic number.

2012100002120 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 2012100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471642208000).

2012100002120 is an abundant number, since it is smaller than the sum of its proper divisors (2931184413880).

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

2012100002120 is a wasteful number, since it uses less digits than its factorization.

2012100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60583 (or 60579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2012100002120 its reverse (212000012102), we get a palindrome (2224100014222).

The spelling of 2012100002120 in words is "two trillion, twelve billion, one hundred million, two thousand, one hundred twenty".