10220100002020 has 96 divisors (see below), whose sum is σ = 22768271618400. Its totient is φ = 3840192405504.

The previous prime is 10220100002009. The next prime is 10220100002089. The reversal of 10220100002020 is 2020000102201.

It can be written as a sum of positive squares in 16 ways, for example, as 3514455097344 + 6705644904676 = 1874688^2 + 2589526^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10220100001988 and 10220100002006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398286126 + ... + 1398293434.

It is an arithmetic number, because the mean of its divisors is an integer number (237169496025).

Almost surely, 2^{10220100002020} is an apocalyptic number.

10220100002020 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 10220100002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11384135809200).

10220100002020 is an abundant number, since it is smaller than the sum of its proper divisors (12548171616380).

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

10220100002020 is a wasteful number, since it uses less digits than its factorization.

10220100002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14657 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220100002020 its reverse (2020000102201), we get a palindrome (12240100104221).

The spelling of 10220100002020 in words is "ten trillion, two hundred twenty billion, one hundred million, two thousand, twenty".