2012102100100 has 18 divisors (see below), whose sum is σ = 4366261557434. Its totient is φ = 804840840000.

The previous prime is 2012102100061. The next prime is 2012102100101. The reversal of 2012102100100 is 10012012102.

It can be written as a sum of positive squares in 3 ways, for example, as 379704196 + 2011722395904 = 19486^2 + 1418352^2 .

It is a super-2 number, since 2×2012102100100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2012102100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10060510401 + ... + 10060510600.

Almost surely, 2^{2012102100100} is an apocalyptic number.

2012102100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012102100100 is an abundant number, since it is smaller than the sum of its proper divisors (2354159457334).

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

2012102100100 is a wasteful number, since it uses less digits than its factorization.

2012102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20121021015 (or 20121021008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2012102100100 its reverse (10012012102), we get a palindrome (2022114112202).

The spelling of 2012102100100 in words is "two trillion, twelve billion, one hundred two million, one hundred thousand, one hundred".