201100101121220 has 96 divisors (see below), whose sum is σ = 482806891746816. Its totient is φ = 68924803046400.

The previous prime is 201100101121207. The next prime is 201100101121277. The reversal of 201100101121220 is 22121101001102.

It is a super-2 number, since 2×201100101121220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201100101121195 and 201100101121204.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10058515544 + ... + 10058535536.

It is an arithmetic number, because the mean of its divisors is an integer number (5029238455696).

Almost surely, 2^{201100101121220} is an apocalyptic number.

201100101121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100101121220 is an abundant number, since it is smaller than the sum of its proper divisors (281706790625596).

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

201100101121220 is a wasteful number, since it uses less digits than its factorization.

201100101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41221 (or 41219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201100101121220 its reverse (22121101001102), we get a palindrome (223221202122322).

The spelling of 201100101121220 in words is "two hundred one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".