100221010201020 has 192 divisors, whose sum is σ = 295628703552000. Its totient is φ = 25298389877760.

The previous prime is 100221010201003. The next prime is 100221010201021. The reversal of 100221010201020 is 20102010122001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100221010200987 and 100221010201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221010201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12946774350 + ... + 12946782090.

It is an arithmetic number, because the mean of its divisors is an integer number (1539732831000).

Almost surely, 2^{100221010201020} is an apocalyptic number.

100221010201020 is a gapful number since it is divisible by the number (10) 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 100221010201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147814351776000).

100221010201020 is an abundant number, since it is smaller than the sum of its proper divisors (195407693350980).

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

100221010201020 is a wasteful number, since it uses less digits than its factorization.

100221010201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15548 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100221010201020 its reverse (20102010122001), we get a palindrome (120323020323021).

The spelling of 100221010201020 in words is "one hundred trillion, two hundred twenty-one billion, ten million, two hundred one thousand, twenty".