2012200101000 has 96 divisors (see below), whose sum is σ = 6801236371800. Its totient is φ = 536586691200.

The previous prime is 2012200100983. The next prime is 2012200101001. The reversal of 2012200101000 is 1010022102.

It can be written as a sum of positive squares in 4 ways, for example, as 1227455704836 + 784744396164 = 1107906^2 + 885858^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2012200101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111779895 + ... + 111797894.

Almost surely, 2^{2012200101000} is an apocalyptic number.

2012200101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012200101000 is an abundant number, since it is smaller than the sum of its proper divisors (4789036270800).

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

2012200101000 is a wasteful number, since it uses less digits than its factorization.

2012200101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223577816 (or 223577799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2012200101000 its reverse (1010022102), we get a palindrome (2013210123102).

The spelling of 2012200101000 in words is "two trillion, twelve billion, two hundred million, one hundred one thousand".