2010120101100 has 108 divisors (see below), whose sum is σ = 6470896641664. Its totient is φ = 521544666240.

The previous prime is 2010120101081. The next prime is 2010120101107. The reversal of 2010120101100 is 11010210102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2010120101107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30148684 + ... + 30215283.

Almost surely, 2^{2010120101100} is an apocalyptic number.

2010120101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010120101100 is an abundant number, since it is smaller than the sum of its proper divisors (4460776540564).

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

2010120101100 is a wasteful number, since it uses less digits than its factorization.

2010120101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60364024 (or 60364014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2010120101100 its reverse (11010210102), we get a palindrome (2021130311202).

The spelling of 2010120101100 in words is "two trillion, ten billion, one hundred twenty million, one hundred one thousand, one hundred".