201000011222010 has 512 divisors, whose sum is σ = 671789834182656. Its totient is φ = 37140042240000.

The previous prime is 201000011221987. The next prime is 201000011222071. The reversal of 201000011222010 is 10222110000102.

It is a super-2 number, since 2×201000011222010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111326565 + ... + 113117655.

It is an arithmetic number, because the mean of its divisors is an integer number (1312089519888).

Almost surely, 2^{201000011222010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000011222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335894917091328).

201000011222010 is an abundant number, since it is smaller than the sum of its proper divisors (470789822960646).

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

201000011222010 is a wasteful number, since it uses less digits than its factorization.

201000011222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791270.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000011222010 its reverse (10222110000102), we get a palindrome (211222121222112).

The spelling of 201000011222010 in words is "two hundred one trillion, eleven million, two hundred twenty-two thousand, ten".