201011311122210 has 96 divisors (see below), whose sum is σ = 528036217673328. Its totient is φ = 53048938905600.

The previous prime is 201011311122191. The next prime is 201011311122211. The reversal of 201011311122210 is 12221113110102.

It is a happy number.

201011311122210 is a `hidden beast` number, since 2 + 0 + 10 + 11 + 311 + 122 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117330035946201 + 83681275176009 = 10831899^2 + 9147747^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201011311122211) 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, 15797194 + ... + 25525946.

Almost surely, 2^{201011311122210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201011311122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264018108836664).

201011311122210 is an abundant number, since it is smaller than the sum of its proper divisors (327024906551118).

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

201011311122210 is a wasteful number, since it uses less digits than its factorization.

201011311122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9731140 (or 9731137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 201011311122210 its reverse (12221113110102), we get a palindrome (213232424232312).

The spelling of 201011311122210 in words is "two hundred one trillion, eleven billion, three hundred eleven million, one hundred twenty-two thousand, two hundred ten".