201001011011220 has 768 divisors, whose sum is σ = 685212399083520. Its totient is φ = 43067127914496.

The previous prime is 201001011011197. The next prime is 201001011011231. The reversal of 201001011011220 is 22110110100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201001011011196 and 201001011011205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16533761382 + ... + 16533773538.

It is an arithmetic number, because the mean of its divisors is an integer number (892203644640).

Almost surely, 2^{201001011011220} is an apocalyptic number.

201001011011220 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 201001011011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342606199541760).

201001011011220 is an abundant number, since it is smaller than the sum of its proper divisors (484211388072300).

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

201001011011220 is a wasteful number, since it uses less digits than its factorization.

201001011011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201001011011220 its reverse (22110110100102), we get a palindrome (223111121111322).

The spelling of 201001011011220 in words is "two hundred one trillion, one billion, eleven million, eleven thousand, two hundred twenty".