201121221101220 has 384 divisors, whose sum is σ = 752950464000000. Its totient is φ = 43538560293888.

The previous prime is 201121221101153. The next prime is 201121221101351. The reversal of 201121221101220 is 22101122121102.

201121221101220 is a `hidden beast` number, since 2 + 0 + 1 + 121 + 221 + 101 + 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 = 201121221101193 and 201121221101202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250898016 + ... + 251698344.

It is an arithmetic number, because the mean of its divisors is an integer number (1960808500000).

Almost surely, 2^{201121221101220} is an apocalyptic number.

201121221101220 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 201121221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376475232000000).

201121221101220 is an abundant number, since it is smaller than the sum of its proper divisors (551829242898780).

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

201121221101220 is a wasteful number, since it uses less digits than its factorization.

201121221101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803872 (or 803864 counting only the distinct ones).

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

Adding to 201121221101220 its reverse (22101122121102), we get a palindrome (223222343222322).

The spelling of 201121221101220 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".