201221012211120 has 480 divisors, whose sum is σ = 742480300433664. Its totient is φ = 48431982643200.

The previous prime is 201221012211103. The next prime is 201221012211137. The reversal of 201221012211120 is 21112210122102.

201221012211120 is a `hidden beast` number, since 201 + 2 + 210 + 1 + 221 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (201221012211103) and next prime (201221012211137).

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 = 201221012211093 and 201221012211102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595270455 + ... + 1595396585.

Almost surely, 2^{201221012211120} is an apocalyptic number.

201221012211120 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 201221012211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371240150216832).

201221012211120 is an abundant number, since it is smaller than the sum of its proper divisors (541259288222544).

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

201221012211120 is a wasteful number, since it uses less digits than its factorization.

201221012211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127601 (or 127592 counting only the distinct ones).

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

Adding to 201221012211120 its reverse (21112210122102), we get a palindrome (222333222333222).

The spelling of 201221012211120 in words is "two hundred one trillion, two hundred twenty-one billion, twelve million, two hundred eleven thousand, one hundred twenty".