201121211001220 has 24 divisors (see below), whose sum is σ = 447198927991704. Its totient is φ = 75716220612096.

The previous prime is 201121211001211. The next prime is 201121211001233. The reversal of 201121211001220 is 22100112121102.

It can be written as a sum of positive squares in 4 ways, for example, as 9452082931776 + 191669128069444 = 3074424^2 + 13844462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201121211001194 and 201121211001203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295766486427 + ... + 295766487106.

It is an arithmetic number, because the mean of its divisors is an integer number (18633288666321).

Almost surely, 2^{201121211001220} is an apocalyptic number.

201121211001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121211001220 is an abundant number, since it is smaller than the sum of its proper divisors (246077716990484).

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

201121211001220 is a wasteful number, since it uses less digits than its factorization.

201121211001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591532973559 (or 591532973557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201121211001220 its reverse (22100112121102), we get a palindrome (223221323122322).

The spelling of 201121211001220 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred eleven million, one thousand, two hundred twenty".