100221020212194 has 72 divisors (see below), whose sum is σ = 252795686013468. Its totient is φ = 28612153563840.

The previous prime is 100221020212141. The next prime is 100221020212199. The reversal of 100221020212194 is 491212020122001.

100221020212194 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86715858258225 + 13505161953969 = 9312135^2 + 3674937^2 .

It is not an unprimeable number, because it can be changed into a prime (100221020212199) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 43364397 + ... + 45617024.

Almost surely, 2^{100221020212194} is an apocalyptic number.

100221020212194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100221020212194 is an abundant number, since it is smaller than the sum of its proper divisors (152574665801274).

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

100221020212194 is a wasteful number, since it uses less digits than its factorization.

100221020212194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88982720 (or 88982710 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100221020212194 its reverse (491212020122001), we get a palindrome (591433040334195).

The spelling of 100221020212194 in words is "one hundred trillion, two hundred twenty-one billion, twenty million, two hundred twelve thousand, one hundred ninety-four".