20020120101000 has 384 divisors, whose sum is σ = 70222500223200. Its totient is φ = 5138323814400.

The previous prime is 20020120100941. The next prime is 20020120101017. The reversal of 20020120101000 is 10102102002.

It can be written as a sum of positive squares in 16 ways, for example, as 3949273849284 + 16070846251716 = 1987278^2 + 4008846^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 82616014 + ... + 82857986.

Almost surely, 2^{20020120101000} is an apocalyptic number.

20020120101000 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 20020120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35111250111600).

20020120101000 is an abundant number, since it is smaller than the sum of its proper divisors (50202380122200).

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

20020120101000 is a wasteful number, since it uses less digits than its factorization.

20020120101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242346 (or 242329 counting only the distinct ones).

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

Adding to 20020120101000 its reverse (10102102002), we get a palindrome (20030222203002).

The spelling of 20020120101000 in words is "twenty trillion, twenty billion, one hundred twenty million, one hundred one thousand".