100012111212100 has 36 divisors (see below), whose sum is σ = 218482833586500. Its totient is φ = 39736355589760.

The previous prime is 100012111212077. The next prime is 100012111212119. The reversal of 100012111212100 is 1212111210001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19307868741184 + 80704242470916 = 4394072^2 + 8983554^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3356096215 + ... + 3356126014.

It is an arithmetic number, because the mean of its divisors is an integer number (6068967599625).

Almost surely, 2^{100012111212100} is an apocalyptic number.

100012111212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012111212100 is an abundant number, since it is smaller than the sum of its proper divisors (118470722374400).

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

100012111212100 is a wasteful number, since it uses less digits than its factorization.

100012111212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712222392 (or 6712222385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100012111212100 its reverse (1212111210001), we get a palindrome (101224222422101).

The spelling of 100012111212100 in words is "one hundred trillion, twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred".