201000211222020 has 288 divisors, whose sum is σ = 661677431095296. Its totient is φ = 45454426617600.

The previous prime is 201000211221967. The next prime is 201000211222079. The reversal of 201000211222020 is 20222112000102.

It is a super-2 number, since 2×201000211222020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126692989 + ... + 128269691.

It is an arithmetic number, because the mean of its divisors is an integer number (2297491080192).

Almost surely, 2^{201000211222020} is an apocalyptic number.

201000211222020 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 201000211222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330838715547648).

201000211222020 is an abundant number, since it is smaller than the sum of its proper divisors (460677219873276).

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

201000211222020 is a wasteful number, since it uses less digits than its factorization.

201000211222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577191 (or 1577182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201000211222020 its reverse (20222112000102), we get a palindrome (221222323222122).

The spelling of 201000211222020 in words is "two hundred one trillion, two hundred eleven million, two hundred twenty-two thousand, twenty".