2011201100010 has 80 divisors (see below), whose sum is σ = 5412133919016. Its totient is φ = 535900033152.

The previous prime is 2011201099993. The next prime is 2011201100011. The reversal of 2011201100010 is 100011021102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1982782220769 + 28418879241 = 1408113^2 + 168579^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2011201099965 and 2011201100001.

It is not an unprimeable number, because it can be changed into a prime (2011201100011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62184 + ... + 2006556.

Almost surely, 2^{2011201100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011201100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706066959508).

2011201100010 is an abundant number, since it is smaller than the sum of its proper divisors (3400932819006).

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

2011201100010 is a wasteful number, since it uses less digits than its factorization.

2011201100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945669 (or 1945660 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011201100010 its reverse (100011021102), we get a palindrome (2111212121112).

The spelling of 2011201100010 in words is "two trillion, eleven billion, two hundred one million, one hundred thousand, ten".