10120000220020 has 48 divisors (see below), whose sum is σ = 21828547330128. Its totient is φ = 3938203376640.

The previous prime is 10120000219991. The next prime is 10120000220059. The reversal of 10120000220020 is 2002200002101.

It can be written as a sum of positive squares in 8 ways, for example, as 1321823886436 + 8798176333584 = 1149706^2 + 2966172^2 .

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 = 10120000219979 and 10120000220006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6830064 + ... + 8178616.

It is an arithmetic number, because the mean of its divisors is an integer number (454761402711).

Almost surely, 2^{10120000220020} is an apocalyptic number.

10120000220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120000220020 is an abundant number, since it is smaller than the sum of its proper divisors (11708547110108).

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

10120000220020 is a wasteful number, since it uses less digits than its factorization.

10120000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358740 (or 1358738 counting only the distinct ones).

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

Adding to 10120000220020 its reverse (2002200002101), we get a palindrome (12122200222121).

The spelling of 10120000220020 in words is "ten trillion, one hundred twenty billion, two hundred twenty thousand, twenty".