2012112101000 has 64 divisors (see below), whose sum is σ = 4708958042880. Its totient is φ = 804739588800.

The previous prime is 2012112100981. The next prime is 2012112101009. The reversal of 2012112101000 is 1012112102.

It is not an unprimeable number, because it can be changed into a prime (2012112101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7755377 + ... + 8010623.

It is an arithmetic number, because the mean of its divisors is an integer number (73577469420).

Almost surely, 2^{2012112101000} is an apocalyptic number.

2012112101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012112101000 is an abundant number, since it is smaller than the sum of its proper divisors (2696845941880).

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

2012112101000 is a wasteful number, since it uses less digits than its factorization.

2012112101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263151 (or 263137 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2012112101000 its reverse (1012112102), we get a palindrome (2013124213102).

It can be divided in two parts, 2012112 and 101000, that added together give a palindrome (2113112).

The spelling of 2012112101000 in words is "two trillion, twelve billion, one hundred twelve million, one hundred one thousand".