100120311341220 has 192 divisors, whose sum is σ = 296573709680640. Its totient is φ = 25203084940800.

The previous prime is 100120311341131. The next prime is 100120311341227. The reversal of 100120311341220 is 22143113021001.

It is not an unprimeable number, because it can be changed into a prime (100120311341227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8091390 + ... + 16300650.

It is an arithmetic number, because the mean of its divisors is an integer number (1544654737920).

Almost surely, 2^{100120311341220} is an apocalyptic number.

100120311341220 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 100120311341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148286854840320).

100120311341220 is an abundant number, since it is smaller than the sum of its proper divisors (196453398339420).

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

100120311341220 is a wasteful number, since it uses less digits than its factorization.

100120311341220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209466 (or 8209464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100120311341220 its reverse (22143113021001), we get a palindrome (122263424362221).

The spelling of 100120311341220 in words is "one hundred trillion, one hundred twenty billion, three hundred eleven million, three hundred forty-one thousand, two hundred twenty".