201220022101100 has 288 divisors, whose sum is σ = 485673210925056. Its totient is φ = 72030628454400.

The previous prime is 201220022101067. The next prime is 201220022101103. The reversal of 201220022101100 is 1101220022102.

It is not an unprimeable number, because it can be changed into a prime (201220022101103) 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 95 ways as a sum of consecutive naturals, for example, 1387584797 + ... + 1387729803.

It is an arithmetic number, because the mean of its divisors is an integer number (1686365315712).

Almost surely, 2^{201220022101100} is an apocalyptic number.

201220022101100 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 201220022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242836605462528).

201220022101100 is an abundant number, since it is smaller than the sum of its proper divisors (284453188823956).

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

201220022101100 is a wasteful number, since it uses less digits than its factorization.

201220022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145585 (or 145578 counting only the distinct ones).

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

Adding to 201220022101100 its reverse (1101220022102), we get a palindrome (202321242123202).

The spelling of 201220022101100 in words is "two hundred one trillion, two hundred twenty billion, twenty-two million, one hundred one thousand, one hundred".