100012133321100 has 2592 divisors, whose sum is σ = 438242601678336. Its totient is φ = 18420933427200.

The previous prime is 100012133321047. The next prime is 100012133321179. The reversal of 100012133321100 is 1123331210001.

100012133321100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 121 + 333 + 211 + 0 + 0 = 666.

It is a super-2 number, since 2×100012133321100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 102366563812 + ... + 102366564788.

It is an arithmetic number, because the mean of its divisors is an integer number (169075077808).

Almost surely, 2^{100012133321100} is an apocalyptic number.

100012133321100 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 100012133321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219121300839168).

100012133321100 is an abundant number, since it is smaller than the sum of its proper divisors (338230468357236).

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

100012133321100 is a wasteful number, since it uses less digits than its factorization.

100012133321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100012133321100 its reverse (1123331210001), we get a palindrome (101135464531101).

The spelling of 100012133321100 in words is "one hundred trillion, twelve billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred".