201100100021220 has 192 divisors, whose sum is σ = 575589988673280. Its totient is φ = 52448428032000.

The previous prime is 201100100021213. The next prime is 201100100021221. The reversal of 201100100021220 is 22120001001102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201100100021196 and 201100100021205.

It is not an unprimeable number, because it can be changed into a prime (201100100021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4028341860 + ... + 4028391780.

It is an arithmetic number, because the mean of its divisors is an integer number (2997864524340).

Almost surely, 2^{201100100021220} is an apocalyptic number.

201100100021220 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 201100100021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287794994336640).

201100100021220 is an abundant number, since it is smaller than the sum of its proper divisors (374489888652060).

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

201100100021220 is a wasteful number, since it uses less digits than its factorization.

201100100021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58126 (or 58124 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201100100021220 its reverse (22120001001102), we get a palindrome (223220101022322).

The spelling of 201100100021220 in words is "two hundred one trillion, one hundred billion, one hundred million, twenty-one thousand, two hundred twenty".