1020112201020 has 384 divisors, whose sum is σ = 3369250225152. Its totient is φ = 227863756800.

The previous prime is 1020112200971. The next prime is 1020112201067. The reversal of 1020112201020 is 201022110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020112200987 and 1020112201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112206675 + ... + 112215765.

It is an arithmetic number, because the mean of its divisors is an integer number (8774089128).

Almost surely, 2^{1020112201020} is an apocalyptic number.

1020112201020 is a gapful number since it is divisible by the number (10) 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 1020112201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684625112576).

1020112201020 is an abundant number, since it is smaller than the sum of its proper divisors (2349138024132).

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

1020112201020 is a wasteful number, since it uses less digits than its factorization.

1020112201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020112201020 its reverse (201022110201), we get a palindrome (1221134311221).

It can be divided in two parts, 10201 and 12201020, that added together give a palindrome (12211221).

The spelling of 1020112201020 in words is "one trillion, twenty billion, one hundred twelve million, two hundred one thousand, twenty".