100221020210120 has 64 divisors (see below), whose sum is σ = 225554265595440. Its totient is φ = 40078281600000.

The previous prime is 100221020210111. The next prime is 100221020210123. The reversal of 100221020210120 is 21012020122001.

It can be written as a sum of positive squares in 8 ways, for example, as 69292005969124 + 30929014240996 = 8324182^2 + 5561386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100221020210095 and 100221020210104.

It is not an unprimeable number, because it can be changed into a prime (100221020210123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3402729314 + ... + 3402758766.

Almost surely, 2^{100221020210120} is an apocalyptic number.

100221020210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221020210120 is an abundant number, since it is smaller than the sum of its proper divisors (125333245385320).

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

100221020210120 is a wasteful number, since it uses less digits than its factorization.

100221020210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48066 (or 48062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221020210120 its reverse (21012020122001), we get a palindrome (121233040332121).

The spelling of 100221020210120 in words is "one hundred trillion, two hundred twenty-one billion, twenty million, two hundred ten thousand, one hundred twenty".