2010110112120 has 64 divisors (see below), whose sum is σ = 6578542189440. Its totient is φ = 487299420800.

The previous prime is 2010110112107. The next prime is 2010110112133. The reversal of 2010110112120 is 212110110102.

It is an interprime number because it is at equal distance from previous prime (2010110112107) and next prime (2010110112133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2010110112096 and 2010110112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761404026 + ... + 761406665.

It is an arithmetic number, because the mean of its divisors is an integer number (102789721710).

Almost surely, 2^{2010110112120} is an apocalyptic number.

2010110112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010110112120 is an abundant number, since it is smaller than the sum of its proper divisors (4568432077320).

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

2010110112120 is a wasteful number, since it uses less digits than its factorization.

2010110112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522810716 (or 1522810712 counting only the distinct ones).

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

Adding to 2010110112120 its reverse (212110110102), we get a palindrome (2222220222222).

The spelling of 2010110112120 in words is "two trillion, ten billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".