10021100020020 has 144 divisors (see below), whose sum is σ = 30821843117520. Its totient is φ = 2634993358848.

The previous prime is 10021100020007. The next prime is 10021100020027. The reversal of 10021100020020 is 2002000112001.

It can be written as a sum of positive squares in 8 ways, for example, as 2570231001636 + 7450869018384 = 1603194^2 + 2729628^2 .

It is a super-2 number, since 2×10021100020020² (a number of 27 digits) contains 22 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 = 10021100019984 and 10021100020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021100020027) by changing a digit.

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, 50845426 + ... + 51042134.

It is an arithmetic number, because the mean of its divisors is an integer number (214040577205).

Almost surely, 2^{10021100020020} is an apocalyptic number.

10021100020020 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 10021100020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410921558760).

10021100020020 is an abundant number, since it is smaller than the sum of its proper divisors (20800743097500).

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

10021100020020 is a wasteful number, since it uses less digits than its factorization.

10021100020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200674 (or 200669 counting only the distinct ones).

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

Adding to 10021100020020 its reverse (2002000112001), we get a palindrome (12023100132021).

The spelling of 10021100020020 in words is "ten trillion, twenty-one billion, one hundred million, twenty thousand, twenty".