100220212120100 has 108 divisors (see below), whose sum is σ = 231089452818000. Its totient is φ = 37719141081600.

The previous prime is 100220212120027. The next prime is 100220212120109. The reversal of 100220212120100 is 1021212022001.

It is not an unprimeable number, because it can be changed into a prime (100220212120109) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 100625555 + ... + 101616645.

Almost surely, 2^{100220212120100} is an apocalyptic number.

100220212120100 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 100220212120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115544726409000).

100220212120100 is an abundant number, since it is smaller than the sum of its proper divisors (130869240697900).

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

100220212120100 is a wasteful number, since it uses less digits than its factorization.

100220212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994638 (or 994614 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100220212120100 its reverse (1021212022001), we get a palindrome (101241424142101).

The spelling of 100220212120100 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, one hundred".