100212002213202 has 256 divisors, whose sum is σ = 256216068864000. Its totient is φ = 28713740025600.

The previous prime is 100212002213189. The next prime is 100212002213237. The reversal of 100212002213202 is 202312200212001.

100212002213202 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 120 + 0 + 221 + 320 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16452468177 + ... + 16452474267.

It is an arithmetic number, because the mean of its divisors is an integer number (1000844019000).

Almost surely, 2^{100212002213202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212002213202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128108034432000).

100212002213202 is an abundant number, since it is smaller than the sum of its proper divisors (156004066650798).

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

100212002213202 is a wasteful number, since it uses less digits than its factorization.

100212002213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8688 counting only the distinct ones).

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

Adding to 100212002213202 its reverse (202312200212001), we get a palindrome (302524202425203).

The spelling of 100212002213202 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred thirteen thousand, two hundred two".