10011212000100 has 216 divisors, whose sum is σ = 33338987496360. Its totient is φ = 2507934320640.

The previous prime is 10011212000087. The next prime is 10011212000147. The reversal of 10011212000100 is 100021211001.

It is a happy number.

10011212000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 176783616 + 10011035216484 = 13296^2 + 3164022^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4217697 + ... + 6149096.

It is an arithmetic number, because the mean of its divisors is an integer number (154347164335).

Almost surely, 2^{10011212000100} is an apocalyptic number.

10011212000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011212000100 is an abundant number, since it is smaller than the sum of its proper divisors (23327775496260).

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

10011212000100 is a wasteful number, since it uses less digits than its factorization.

10011212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366879 (or 10366869 counting only the distinct ones).

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

Adding to 10011212000100 its reverse (100021211001), we get a palindrome (10111233211101).

The spelling of 10011212000100 in words is "ten trillion, eleven billion, two hundred twelve million, one hundred", and thus it is an aban number.