100221021011100 has 288 divisors, whose sum is σ = 319587988559616. Its totient is φ = 24047286681600.

The previous prime is 100221021011021. The next prime is 100221021011117. The reversal of 100221021011100 is 1110120122001.

100221021011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132775359 + ... + 133528041.

It is an arithmetic number, because the mean of its divisors is an integer number (1109680515832).

Almost surely, 2^{100221021011100} is an apocalyptic number.

100221021011100 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 100221021011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159793994279808).

100221021011100 is an abundant number, since it is smaller than the sum of its proper divisors (219366967548516).

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

100221021011100 is a wasteful number, since it uses less digits than its factorization.

100221021011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753125 (or 753118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221021011100 its reverse (1110120122001), we get a palindrome (101331141133101).

The spelling of 100221021011100 in words is "one hundred trillion, two hundred twenty-one billion, twenty-one million, eleven thousand, one hundred".