100221011012100 has 576 divisors, whose sum is σ = 335495118938112. Its totient is φ = 22867826688000.

The previous prime is 100221011012041. The next prime is 100221011012123. The reversal of 100221011012100 is 1210110122001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17082153367 + ... + 17082159233.

It is an arithmetic number, because the mean of its divisors is an integer number (582456803712).

Almost surely, 2^{100221011012100} is an apocalyptic number.

100221011012100 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 100221011012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167747559469056).

100221011012100 is an abundant number, since it is smaller than the sum of its proper divisors (235274107926012).

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

100221011012100 is a wasteful number, since it uses less digits than its factorization.

100221011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10469 counting only the distinct ones).

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

Adding to 100221011012100 its reverse (1210110122001), we get a palindrome (101431121134101).

The spelling of 100221011012100 in words is "one hundred trillion, two hundred twenty-one billion, eleven million, twelve thousand, one hundred".