2020102022120 has 384 divisors, whose sum is σ = 5829715009440. Its totient is φ = 624269721600.

The previous prime is 2020102022063. The next prime is 2020102022131. The reversal of 2020102022120 is 212202010202.

It can be written as a sum of positive squares in 16 ways, for example, as 898616786116 + 1121485236004 = 947954^2 + 1059002^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2020102022095 and 2020102022104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187858664 + ... + 187869416.

Almost surely, 2^{2020102022120} is an apocalyptic number.

2020102022120 is a gapful number since it is divisible by the number (20) 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 2020102022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914857504720).

2020102022120 is an abundant number, since it is smaller than the sum of its proper divisors (3809612987320).

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

2020102022120 is a wasteful number, since it uses less digits than its factorization.

2020102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2020102022120 its reverse (212202010202), we get a palindrome (2232304032322).

The spelling of 2020102022120 in words is "two trillion, twenty billion, one hundred two million, twenty-two thousand, one hundred twenty".