10020221100120 has 256 divisors, whose sum is σ = 37624068172800. Its totient is φ = 2074021724160.

The previous prime is 10020221100101. The next prime is 10020221100121. The reversal of 10020221100120 is 2100112202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020221100096 and 10020221100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020221100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264876 + ... + 4484484.

It is an arithmetic number, because the mean of its divisors is an integer number (146969016300).

Almost surely, 2^{10020221100120} is an apocalyptic number.

10020221100120 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 10020221100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18812034086400).

10020221100120 is an abundant number, since it is smaller than the sum of its proper divisors (27603847072680).

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

10020221100120 is a wasteful number, since it uses less digits than its factorization.

10020221100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219898 (or 4219894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020221100120 its reverse (2100112202001), we get a palindrome (12120333302121).

The spelling of 10020221100120 in words is "ten trillion, twenty billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".