100211022012220 has 96 divisors (see below), whose sum is σ = 248826570854400. Its totient is φ = 33169731565824.

The previous prime is 100211022012217. The next prime is 100211022012229. The reversal of 100211022012220 is 22210220112001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100211022012194 and 100211022012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211022012229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36510829 + ... + 39159451.

It is an arithmetic number, because the mean of its divisors is an integer number (2591943446400).

Almost surely, 2^{100211022012220} is an apocalyptic number.

100211022012220 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 100211022012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124413285427200).

100211022012220 is an abundant number, since it is smaller than the sum of its proper divisors (148615548842180).

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

100211022012220 is a wasteful number, since it uses less digits than its factorization.

100211022012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657987 (or 2657985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100211022012220 its reverse (22210220112001), we get a palindrome (122421242124221).

The spelling of 100211022012220 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, twelve thousand, two hundred twenty".