202011222110202 has 192 divisors, whose sum is σ = 470559834950400. Its totient is φ = 62409118464000.

The previous prime is 202011222110161. The next prime is 202011222110207.

It is a happy number.

202011222110202 is a `hidden beast` number, since 20 + 201 + 12 + 221 + 10 + 202 = 666.

202011222110202 is nontrivially palindromic in base 10.

202011222110202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (202011222110207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22221007677 + ... + 22221016767.

It is an arithmetic number, because the mean of its divisors is an integer number (2450832473700).

Almost surely, 2^{202011222110202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202011222110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235279917475200).

202011222110202 is an abundant number, since it is smaller than the sum of its proper divisors (268548612840198).

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

202011222110202 is a wasteful number, since it uses less digits than its factorization.

202011222110202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13029 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 202011222110202 in words is "two hundred two trillion, eleven billion, two hundred twenty-two million, one hundred ten thousand, two hundred two".