100221211121020 has 192 divisors, whose sum is σ = 245799004574592. Its totient is φ = 33920778240000.

The previous prime is 100221211120981. The next prime is 100221211121039. The reversal of 100221211121020 is 20121112122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221211120985 and 100221211121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322056700 + ... + 322367740.

It is an arithmetic number, because the mean of its divisors is an integer number (1280203148826).

Almost surely, 2^{100221211121020} is an apocalyptic number.

100221211121020 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 100221211121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122899502287296).

100221211121020 is an abundant number, since it is smaller than the sum of its proper divisors (145577793453572).

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

100221211121020 is a wasteful number, since it uses less digits than its factorization.

100221211121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312032 (or 312030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221211121020 its reverse (20121112122001), we get a palindrome (120342323243021).

The spelling of 100221211121020 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty-one thousand, twenty".