2001200221020 has 768 divisors, whose sum is σ = 8181396099072. Its totient is φ = 351496765440.

The previous prime is 2001200220973. The next prime is 2001200221043. The reversal of 2001200221020 is 201220021002.

It is a super-2 number, since 2×2001200221020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001200220987 and 2001200221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37751254 + ... + 37804226.

It is an arithmetic number, because the mean of its divisors is an integer number (10652859504).

Almost surely, 2^{2001200221020} is an apocalyptic number.

2001200221020 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 2001200221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090698049536).

2001200221020 is an abundant number, since it is smaller than the sum of its proper divisors (6180195878052).

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

2001200221020 is a wasteful number, since it uses less digits than its factorization.

2001200221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53070 (or 53068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001200221020 its reverse (201220021002), we get a palindrome (2202420242022).

The spelling of 2001200221020 in words is "two trillion, one billion, two hundred million, two hundred twenty-one thousand, twenty".