100012110221100 has 432 divisors, whose sum is σ = 379875841390080. Its totient is φ = 20065124620800.

The previous prime is 100012110221099. The next prime is 100012110221113. The reversal of 100012110221100 is 1122011210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5974564 + ... + 15353163.

It is an arithmetic number, because the mean of its divisors is an integer number (879342225440).

Almost surely, 2^{100012110221100} is an apocalyptic number.

100012110221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012110221100 is an abundant number, since it is smaller than the sum of its proper divisors (279863731168980).

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

100012110221100 is a wasteful number, since it uses less digits than its factorization.

100012110221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21327798 (or 21327784 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100012110221100 its reverse (1122011210001), we get a palindrome (101134121431101).

The spelling of 100012110221100 in words is "one hundred trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred".