201102011211220 has 144 divisors (see below), whose sum is σ = 492699962917008. Its totient is φ = 68747739863040.

The previous prime is 201102011211209. The next prime is 201102011211229. The reversal of 201102011211220 is 22112110201102.

It can be written as a sum of positive squares in 8 ways, for example, as 145189957444 + 200956821253776 = 381038^2 + 14175924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201102011211194 and 201102011211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102011211229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557501384 + ... + 1557630496.

It is an arithmetic number, because the mean of its divisors is an integer number (3421527520257).

Almost surely, 2^{201102011211220} is an apocalyptic number.

201102011211220 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 201102011211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246349981458504).

201102011211220 is an abundant number, since it is smaller than the sum of its proper divisors (291597951705788).

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

201102011211220 is a wasteful number, since it uses less digits than its factorization.

201102011211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133770 (or 133761 counting only the distinct ones).

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

Adding to 201102011211220 its reverse (22112110201102), we get a palindrome (223214121412322).

The spelling of 201102011211220 in words is "two hundred one trillion, one hundred two billion, eleven million, two hundred eleven thousand, two hundred twenty".