100201112022220 has 144 divisors (see below), whose sum is σ = 236078874662400. Its totient is φ = 35687007734400.

The previous prime is 100201112022217. The next prime is 100201112022257. The reversal of 100201112022220 is 22220211102001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100201112022194 and 100201112022203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37398571 + ... + 39988189.

It is an arithmetic number, because the mean of its divisors is an integer number (1639436629600).

Almost surely, 2^{100201112022220} is an apocalyptic number.

100201112022220 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 100201112022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118039437331200).

100201112022220 is an abundant number, since it is smaller than the sum of its proper divisors (135877762640180).

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

100201112022220 is a wasteful number, since it uses less digits than its factorization.

100201112022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589980 (or 2589967 counting only the distinct ones).

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

Adding to 100201112022220 its reverse (22220211102001), we get a palindrome (122421323124221).

The spelling of 100201112022220 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, twenty-two thousand, two hundred twenty".