100011022220144 has 80 divisors (see below), whose sum is σ = 225641093135040. Its totient is φ = 42051333642240.

The previous prime is 100011022220143. The next prime is 100011022220251. The reversal of 100011022220144 is 441022220110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011022220143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141571484 + ... + 142276164.

It is an arithmetic number, because the mean of its divisors is an integer number (2820513664188).

Almost surely, 2^{100011022220144} is an apocalyptic number.

100011022220144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100011022220144 is an abundant number, since it is smaller than the sum of its proper divisors (125630070914896).

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

100011022220144 is a wasteful number, since it uses less digits than its factorization.

100011022220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728658 (or 728652 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100011022220144 its reverse (441022220110001), we get a palindrome (541033242330145).

The spelling of 100011022220144 in words is "one hundred trillion, eleven billion, twenty-two million, two hundred twenty thousand, one hundred forty-four".