10012010012100 has 216 divisors, whose sum is σ = 31693266626112. Its totient is φ = 2643406214400.

The previous prime is 10012010012083. The next prime is 10012010012107. The reversal of 10012010012100 is 121001021001.

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 (10012010012107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 672345655 + ... + 672360545.

It is an arithmetic number, because the mean of its divisors is an integer number (146728086232).

Almost surely, 2^{10012010012100} is an apocalyptic number.

10012010012100 is a gapful number since it is divisible by the number (10) 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 10012010012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846633313056).

10012010012100 is an abundant number, since it is smaller than the sum of its proper divisors (21681256614012).

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

10012010012100 is a wasteful number, since it uses less digits than its factorization.

10012010012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22267 (or 22257 counting only the distinct ones).

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

Adding to 10012010012100 its reverse (121001021001), we get a palindrome (10133011033101).

The spelling of 10012010012100 in words is "ten trillion, twelve billion, ten million, twelve thousand, one hundred".