2010102122112 has 192 divisors, whose sum is σ = 6213965990400. Its totient is φ = 574046355456.

The previous prime is 2010102122101. The next prime is 2010102122153. The reversal of 2010102122112 is 2112212010102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2010102122091 and 2010102122100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42105168 + ... + 42152880.

It is an arithmetic number, because the mean of its divisors is an integer number (32364406200).

Almost surely, 2^{2010102122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106982995200).

2010102122112 is an abundant number, since it is smaller than the sum of its proper divisors (4203863868288).

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

2010102122112 is a wasteful number, since it uses less digits than its factorization.

2010102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49983 (or 49964 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2010102122112 its reverse (2112212010102), we get a palindrome (4122314132214).

The spelling of 2010102122112 in words is "two trillion, ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".