100221110001020 has 96 divisors (see below), whose sum is σ = 215269863399360. Its totient is φ = 39186141327360.

The previous prime is 100221110000981. The next prime is 100221110001073. The reversal of 100221110001020 is 20100011122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221110000992 and 100221110001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55324262 + ... + 57107058.

It is an arithmetic number, because the mean of its divisors is an integer number (2242394410410).

Almost surely, 2^{100221110001020} is an apocalyptic number.

100221110001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221110001020 is an abundant number, since it is smaller than the sum of its proper divisors (115048753398340).

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

100221110001020 is a wasteful number, since it uses less digits than its factorization.

100221110001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783263 (or 1783261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221110001020 its reverse (20100011122001), we get a palindrome (120321121123021).

The spelling of 100221110001020 in words is "one hundred trillion, two hundred twenty-one billion, one hundred ten million, one thousand, twenty".