100320022201212 has 216 divisors, whose sum is σ = 282694670294400. Its totient is φ = 29968339262400.

The previous prime is 100320022201193. The next prime is 100320022201277. The reversal of 100320022201212 is 212102220023001.

100320022201212 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 0 + 2 + 220 + 121 + 2 = 666.

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

It is a congruent number.

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, 4051193943 + ... + 4051218705.

Almost surely, 2^{100320022201212} is an apocalyptic number.

100320022201212 is a gapful number since it is divisible by the number (12) 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 100320022201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141347335147200).

100320022201212 is an abundant number, since it is smaller than the sum of its proper divisors (182374648093188).

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

100320022201212 is a wasteful number, since it uses less digits than its factorization.

100320022201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37965 (or 37949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100320022201212 its reverse (212102220023001), we get a palindrome (312422242224213).

The spelling of 100320022201212 in words is "one hundred trillion, three hundred twenty billion, twenty-two million, two hundred one thousand, two hundred twelve".