1010220010020 has 144 divisors (see below), whose sum is σ = 3302633984832. Its totient is φ = 248474983680.

The previous prime is 1010220010001. The next prime is 1010220010067. The reversal of 1010220010020 is 200100220101.

It is a super-3 number, since 3×1010220010020³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010220009984 and 1010220010011.

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 47 ways as a sum of consecutive naturals, for example, 2833975 + ... + 3170465.

It is an arithmetic number, because the mean of its divisors is an integer number (22934958228).

Almost surely, 2^{1010220010020} is an apocalyptic number.

1010220010020 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 1010220010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651316992416).

1010220010020 is an abundant number, since it is smaller than the sum of its proper divisors (2292413974812).

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

1010220010020 is a wasteful number, since it uses less digits than its factorization.

1010220010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337802 (or 337797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010220010020 its reverse (200100220101), we get a palindrome (1210320230121).

The spelling of 1010220010020 in words is "one trillion, ten billion, two hundred twenty million, ten thousand, twenty".