2011012112010 has 192 divisors, whose sum is σ = 5363282719872. Its totient is φ = 482180160000.

The previous prime is 2011012111939. The next prime is 2011012112033. The reversal of 2011012112010 is 102112101102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435187500 + ... + 435192120.

It is an arithmetic number, because the mean of its divisors is an integer number (27933764166).

Almost surely, 2^{2011012112010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011012112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681641359936).

2011012112010 is an abundant number, since it is smaller than the sum of its proper divisors (3352270607862).

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

2011012112010 is a wasteful number, since it uses less digits than its factorization.

2011012112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011012112010 its reverse (102112101102), we get a palindrome (2113124213112).

The spelling of 2011012112010 in words is "two trillion, eleven billion, twelve million, one hundred twelve thousand, ten".