100202200222212 has 144 divisors (see below), whose sum is σ = 280250902451520. Its totient is φ = 29933390995200.

The previous prime is 100202200222211. The next prime is 100202200222219. The reversal of 100202200222212 is 212222002202001.

100202200222212 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 220 + 0 + 222 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100202200222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11845614 + ... + 18458682.

It is an arithmetic number, because the mean of its divisors is an integer number (1946186822580).

Almost surely, 2^{100202200222212} is an apocalyptic number.

100202200222212 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 100202200222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140125451225760).

100202200222212 is an abundant number, since it is smaller than the sum of its proper divisors (180048702229308).

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

100202200222212 is a wasteful number, since it uses less digits than its factorization.

100202200222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613634 (or 6613629 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100202200222212 its reverse (212222002202001), we get a palindrome (312424202424213).

The spelling of 100202200222212 in words is "one hundred trillion, two hundred two billion, two hundred million, two hundred twenty-two thousand, two hundred twelve".