2012012101020 has 96 divisors (see below), whose sum is σ = 5656629178368. Its totient is φ = 534347333632.

The previous prime is 2012012101007. The next prime is 2012012101081. The reversal of 2012012101020 is 201012102102.

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 = 2012012100987 and 2012012101005.

It is a congruent 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, 116921257 + ... + 116938463.

It is an arithmetic number, because the mean of its divisors is an integer number (58923220608).

Almost surely, 2^{2012012101020} is an apocalyptic number.

2012012101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012012101020 is an abundant number, since it is smaller than the sum of its proper divisors (3644617077348).

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

2012012101020 is a wasteful number, since it uses less digits than its factorization.

2012012101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25059 (or 25057 counting only the distinct ones).

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

Adding to 2012012101020 its reverse (201012102102), we get a palindrome (2213024203122).

The spelling of 2012012101020 in words is "two trillion, twelve billion, twelve million, one hundred one thousand, twenty".