2010102011120 has 240 divisors, whose sum is σ = 5578009323840. Its totient is φ = 659666042880.

The previous prime is 2010102011081. The next prime is 2010102011123. The reversal of 2010102011120 is 211102010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010102011123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49871936 + ... + 49912224.

It is an arithmetic number, because the mean of its divisors is an integer number (23241705516).

Almost surely, 2^{2010102011120} is an apocalyptic number.

2010102011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010102011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789004661920).

2010102011120 is an abundant number, since it is smaller than the sum of its proper divisors (3567907312720).

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

2010102011120 is a wasteful number, since it uses less digits than its factorization.

2010102011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40444 (or 40397 counting only the distinct ones).

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

Adding to 2010102011120 its reverse (211102010102), we get a palindrome (2221204021222).

The spelling of 2010102011120 in words is "two trillion, ten billion, one hundred two million, eleven thousand, one hundred twenty".