20020100112000 has 768 divisors, whose sum is σ = 73090499040000. Its totient is φ = 5250799411200.

The previous prime is 20020100111989. The next prime is 20020100112013. The reversal of 20020100112000 is 21100102002.

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, 2209963471 + ... + 2209972529.

It is an arithmetic number, because the mean of its divisors is an integer number (95169920625).

Almost surely, 2^{20020100112000} is an apocalyptic number.

20020100112000 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 20020100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36545249520000).

20020100112000 is an abundant number, since it is smaller than the sum of its proper divisors (53070398928000).

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

20020100112000 is a wasteful number, since it uses less digits than its factorization.

20020100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9321 counting only the distinct ones).

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

Adding to 20020100112000 its reverse (21100102002), we get a palindrome (20041200214002).

The spelling of 20020100112000 in words is "twenty trillion, twenty billion, one hundred million, one hundred twelve thousand".