220201020121100 has 144 divisors (see below), whose sum is σ = 489787072621056. Its totient is φ = 85898237568000.

The previous prime is 220201020121063. The next prime is 220201020121109. The reversal of 220201020121100 is 1121020102022.

It is not an unprimeable number, because it can be changed into a prime (220201020121109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292621930 + ... + 1292792270.

It is an arithmetic number, because the mean of its divisors is an integer number (3401299115424).

Almost surely, 2^{220201020121100} is an apocalyptic number.

220201020121100 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 220201020121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244893536310528).

220201020121100 is an abundant number, since it is smaller than the sum of its proper divisors (269586052499956).

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

220201020121100 is a wasteful number, since it uses less digits than its factorization.

220201020121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171876 (or 171869 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220201020121100 its reverse (1121020102022), we get a palindrome (221322040223122).

The spelling of 220201020121100 in words is "two hundred twenty trillion, two hundred one billion, twenty million, one hundred twenty-one thousand, one hundred".