2011101110002 has 64 divisors (see below), whose sum is σ = 3197659459680. Its totient is φ = 947262726144.

The previous prime is 2011101109999. The next prime is 2011101110009. The reversal of 2011101110002 is 2000111011102.

It can be written as a sum of positive squares in 16 ways, for example, as 1480288322241 + 530812787761 = 1216671^2 + 728569^2 .

It is not an unprimeable number, because it can be changed into a prime (2011101110009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169951078 + ... + 169962910.

Almost surely, 2^{2011101110002} is an apocalyptic number.

2011101110002 is a deficient number, since it is larger than the sum of its proper divisors (1186558349678).

2011101110002 is a wasteful number, since it uses less digits than its factorization.

2011101110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011101110002 its reverse (2000111011102), we get a palindrome (4011212121104).

The spelling of 2011101110002 in words is "two trillion, eleven billion, one hundred one million, one hundred ten thousand, two".