2011000101200 has 60 divisors (see below), whose sum is σ = 5115629392380. Its totient is φ = 757082388480.

The previous prime is 2011000101197. The next prime is 2011000101211. The reversal of 2011000101200 is 21010001102.

It can be written as a sum of positive squares in 6 ways, for example, as 74382743824 + 1936617357376 = 272732^2 + 1391624^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147860855 + ... + 147874454.

It is an arithmetic number, because the mean of its divisors is an integer number (85260489873).

Almost surely, 2^{2011000101200} is an apocalyptic number.

2011000101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000101200 is an abundant number, since it is smaller than the sum of its proper divisors (3104629291180).

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

2011000101200 is a wasteful number, since it uses less digits than its factorization.

2011000101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295735344 (or 295735333 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2011000101200 its reverse (21010001102), we get a palindrome (2032010102302).

The spelling of 2011000101200 in words is "two trillion, eleven billion, one hundred one thousand, two hundred".