201100003212420 has 576 divisors, whose sum is σ = 718162857345024. Its totient is φ = 45137967621120.

The previous prime is 201100003212419. The next prime is 201100003212439. The reversal of 201100003212420 is 24212300001102.

It is a happy number.

201100003212420 is a `hidden beast` number, since 2 + 0 + 1 + 100 + 0 + 0 + 321 + 242 + 0 = 666.

201100003212420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201100003212420² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201100003212393 and 201100003212402.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110884639 + ... + 112683641.

It is an arithmetic number, because the mean of its divisors is an integer number (1246810516224).

Almost surely, 2^{201100003212420} is an apocalyptic number.

201100003212420 is a gapful number since it is divisible by the number (20) 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 201100003212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359081428672512).

201100003212420 is an abundant number, since it is smaller than the sum of its proper divisors (517062854132604).

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

201100003212420 is a wasteful number, since it uses less digits than its factorization.

201100003212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799152 (or 1799147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201100003212420 its reverse (24212300001102), we get a palindrome (225312303213522).

The spelling of 201100003212420 in words is "two hundred one trillion, one hundred billion, three million, two hundred twelve thousand, four hundred twenty".