2010101212100 has 72 divisors (see below), whose sum is σ = 4514450223360. Its totient is φ = 775950295680.

The previous prime is 2010101212087. The next prime is 2010101212109. The reversal of 2010101212100 is 12121010102.

It is not an unprimeable number, because it can be changed into a prime (2010101212109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6052979 + ... + 6376421.

Almost surely, 2^{2010101212100} is an apocalyptic number.

2010101212100 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 2010101212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257225111680).

2010101212100 is an abundant number, since it is smaller than the sum of its proper divisors (2504349011260).

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

2010101212100 is a wasteful number, since it uses less digits than its factorization.

2010101212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325629 (or 325622 counting only the distinct ones).

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

Adding to 2010101212100 its reverse (12121010102), we get a palindrome (2022222222202).

The spelling of 2010101212100 in words is "two trillion, ten billion, one hundred one million, two hundred twelve thousand, one hundred".