201121121012220 has 240 divisors, whose sum is σ = 646400390505408. Its totient is φ = 52317103426560.

The previous prime is 201121121012117. The next prime is 201121121012233. The reversal of 201121121012220 is 22210121121102.

201121121012220 is a `hidden beast` number, since 2 + 0 + 11 + 211 + 210 + 12 + 220 = 666.

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 = 201121121012193 and 201121121012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 499077729 + ... + 499480551.

Almost surely, 2^{201121121012220} is an apocalyptic number.

201121121012220 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 201121121012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323200195252704).

201121121012220 is an abundant number, since it is smaller than the sum of its proper divisors (445279269493188).

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

201121121012220 is a wasteful number, since it uses less digits than its factorization.

201121121012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410402 (or 410391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201121121012220 its reverse (22210121121102), we get a palindrome (223331242133322).

The spelling of 201121121012220 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, twelve thousand, two hundred twenty".