1101021112020 has 288 divisors, whose sum is σ = 3382345612800. Its totient is φ = 266646352896.

The previous prime is 1101021111991. The next prime is 1101021112057. The reversal of 1101021112020 is 202111201011.

It is a super-2 number, since 2×1101021112020² (a number of 25 digits) contains 22 as substring.

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 = 1101021111987 and 1101021112005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1784474752 + ... + 1784475368.

It is an arithmetic number, because the mean of its divisors is an integer number (11744255600).

Almost surely, 2^{1101021112020} is an apocalyptic number.

1101021112020 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 1101021112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691172806400).

1101021112020 is an abundant number, since it is smaller than the sum of its proper divisors (2281324500780).

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

1101021112020 is a wasteful number, since it uses less digits than its factorization.

1101021112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101021112020 its reverse (202111201011), we get a palindrome (1303132313031).

The spelling of 1101021112020 in words is "one trillion, one hundred one billion, twenty-one million, one hundred twelve thousand, twenty".