2011102000 has 40 divisors (see below), whose sum is σ = 4862849472. Its totient is φ = 804440000.

The previous prime is 2011101997. The next prime is 2011102007. The reversal of 2011102000 is 2011102.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2011102007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500776 + ... + 504775.

Almost surely, 2^2011102000 is an apocalyptic number.

2011102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011102000 is an abundant number, since it is smaller than the sum of its proper divisors (2851747472).

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

2011102000 is a wasteful number, since it uses less digits than its factorization.

2011102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005574 (or 1005558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2011102000 is about 44845.3119065973. The cubic root of 2011102000 is about 1262.2480234308.

Adding to 2011102000 its reverse (2011102), we get a palindrome (2013113102).

2011102000 divided by its reverse (2011102) gives a cube (1000 = 10³).

The spelling of 2011102000 in words is "two billion, eleven million, one hundred two thousand".