2012010102120 has 128 divisors (see below), whose sum is σ = 6105644438400. Its totient is φ = 530351652864.

The previous prime is 2012010102007. The next prime is 2012010102131. The reversal of 2012010102120 is 212010102102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012010102096 and 2012010102105.

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, 38881384 + ... + 38933096.

It is an arithmetic number, because the mean of its divisors is an integer number (47700347175).

Almost surely, 2^{2012010102120} is an apocalyptic number.

2012010102120 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 2012010102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052822219200).

2012010102120 is an abundant number, since it is smaller than the sum of its proper divisors (4093634336280).

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

2012010102120 is a wasteful number, since it uses less digits than its factorization.

2012010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55459 (or 55455 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012010102120 its reverse (212010102102), we get a palindrome (2224020204222).

The spelling of 2012010102120 in words is "two trillion, twelve billion, ten million, one hundred two thousand, one hundred twenty".