20111001021020 has 768 divisors, whose sum is σ = 59520216268800. Its totient is φ = 5522867159040.

The previous prime is 20111001020899. The next prime is 20111001021029. The reversal of 20111001021020 is 2012010011102.

It is a junction number, because it is equal to n+sod(n) for n = 20111001020992 and 20111001021010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111001021029) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5934197486 + ... + 5934200874.

It is an arithmetic number, because the mean of its divisors is an integer number (77500281600).

Almost surely, 2^{20111001021020} is an apocalyptic number.

20111001021020 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 20111001021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760108134400).

20111001021020 is an abundant number, since it is smaller than the sum of its proper divisors (39409215247780).

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

20111001021020 is a wasteful number, since it uses less digits than its factorization.

20111001021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3756 counting only the distinct ones).

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

Adding to 20111001021020 its reverse (2012010011102), we get a palindrome (22123011032122).

The spelling of 20111001021020 in words is "twenty trillion, one hundred eleven billion, one million, twenty-one thousand, twenty".