20020121011100 has 288 divisors, whose sum is σ = 51274748206080. Its totient is φ = 6643752192000.

The previous prime is 20020121011073. The next prime is 20020121011109. The reversal of 20020121011100 is 111012102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020121011109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801850817 + ... + 801875783.

It is an arithmetic number, because the mean of its divisors is an integer number (178037320160).

Almost surely, 2^{20020121011100} is an apocalyptic number.

20020121011100 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 20020121011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637374103040).

20020121011100 is an abundant number, since it is smaller than the sum of its proper divisors (31254627194980).

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

20020121011100 is a wasteful number, since it uses less digits than its factorization.

20020121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25349 (or 25342 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20020121011100 its reverse (111012102002), we get a palindrome (20131133113102).

The spelling of 20020121011100 in words is "twenty trillion, twenty billion, one hundred twenty-one million, eleven thousand, one hundred".