2012012102100 has 288 divisors, whose sum is σ = 7816175732736. Its totient is φ = 385920345600.

The previous prime is 2012012102027. The next prime is 2012012102101. The reversal of 2012012102100 is 12012102102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012012102101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3049704 + ... + 3650303.

It is an arithmetic number, because the mean of its divisors is an integer number (27139499072).

Almost surely, 2^{2012012102100} is an apocalyptic number.

2012012102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012012102100 is an abundant number, since it is smaller than the sum of its proper divisors (5804163630636).

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

2012012102100 is a wasteful number, since it uses less digits than its factorization.

2012012102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700055 (or 6700048 counting only the distinct ones).

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

Adding to 2012012102100 its reverse (12012102102), we get a palindrome (2024024204202).

It can be divided in two parts, 2012012 and 102100, that added together give a palindrome (2114112).

The spelling of 2012012102100 in words is "two trillion, twelve billion, twelve million, one hundred two thousand, one hundred".