2010110102100 has 180 divisors, whose sum is σ = 6638927323644. Its totient is φ = 525915486720.

The previous prime is 2010110102071. The next prime is 2010110102107. The reversal of 2010110102100 is 12010110102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 55890633744 + 1954219468356 = 236412^2 + 1397934^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010110102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1911849 + ... + 2770448.

Almost surely, 2^{2010110102100} is an apocalyptic number.

2010110102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010110102100 is an abundant number, since it is smaller than the sum of its proper divisors (4628817221544).

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

2010110102100 is a wasteful number, since it uses less digits than its factorization.

2010110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682376 (or 4682360 counting only the distinct ones).

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

Adding to 2010110102100 its reverse (12010110102), we get a palindrome (2022120212202).

The spelling of 2010110102100 in words is "two trillion, ten billion, one hundred ten million, one hundred two thousand, one hundred".