1001010220000 has 360 divisors, whose sum is σ = 2891288335320. Its totient is φ = 340018560000.

The previous prime is 1001010219943. The next prime is 1001010220019. The reversal of 1001010220000 is 220101001.

1001010220000 is digitally balanced in base 2, 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 (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 106815315 + ... + 106824685.

It is an arithmetic number, because the mean of its divisors is an integer number (8031356487).

Almost surely, 2^{1001010220000} is an apocalyptic number.

1001010220000 is a gapful number since it is divisible by the number (10) 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 1001010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445644167660).

1001010220000 is an abundant number, since it is smaller than the sum of its proper divisors (1890278115320).

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

1001010220000 is an equidigital number, since it uses as much as digits as its factorization.

1001010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001010220000 its reverse (220101001), we get a palindrome (1001230321001).

The spelling of 1001010220000 in words is "one trillion, one billion, ten million, two hundred twenty thousand".