2011101101010 has 48 divisors (see below), whose sum is σ = 5235326417880. Its totient is φ = 535630698240.

The previous prime is 2011101100999. The next prime is 2011101101017. The reversal of 2011101101010 is 101011011102.

It can be written as a sum of positive squares in 4 ways, for example, as 1782072813249 + 229028287761 = 1334943^2 + 478569^2 .

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 = 2011101100983 and 2011101101001.

It is not an unprimeable number, because it can be changed into a prime (2011101101017) 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, 13737801 + ... + 13883420.

Almost surely, 2^{2011101101010} is an apocalyptic number.

2011101101010 is an abundant number, since it is smaller than the sum of its proper divisors (3224225316870).

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

2011101101010 is a wasteful number, since it uses less digits than its factorization.

2011101101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27622043 (or 27622040 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2011101101010 its reverse (101011011102), we get a palindrome (2112112112112).

The spelling of 2011101101010 in words is "two trillion, eleven billion, one hundred one million, one hundred one thousand, ten".