10100022020020 has 48 divisors (see below), whose sum is σ = 22158669128400. Its totient is φ = 3862077363200.

The previous prime is 10100022020003. The next prime is 10100022020029. The reversal of 10100022020020 is 2002022000101.

10100022020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 104889185956 + 9995132834064 = 323866^2 + 3161508^2 .

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 = 10100022019979 and 10100022020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022020029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86148505 + ... + 86265664.

It is an arithmetic number, because the mean of its divisors is an integer number (461638940175).

Almost surely, 2^{10100022020020} is an apocalyptic number.

10100022020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100022020020 is an abundant number, since it is smaller than the sum of its proper divisors (12058647108380).

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

10100022020020 is a wasteful number, since it uses less digits than its factorization.

10100022020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172414308 (or 172414306 counting only the distinct ones).

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

Adding to 10100022020020 its reverse (2002022000101), we get a palindrome (12102044020121).

The spelling of 10100022020020 in words is "ten trillion, one hundred billion, twenty-two million, twenty thousand, twenty".