11102010112020 has 144 divisors (see below), whose sum is σ = 31583186046720. Its totient is φ = 2913649961472.

The previous prime is 11102010112019. The next prime is 11102010112027. The reversal of 11102010112020 is 2021101020111.

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 = 11102010111987 and 11102010112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102010112027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145156309 + ... + 145232771.

It is an arithmetic number, because the mean of its divisors is an integer number (219327680880).

Almost surely, 2^{11102010112020} is an apocalyptic number.

11102010112020 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 11102010112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791593023360).

11102010112020 is an abundant number, since it is smaller than the sum of its proper divisors (20481175934700).

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

11102010112020 is a wasteful number, since it uses less digits than its factorization.

11102010112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76882 (or 76731 counting only the distinct ones).

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

Adding to 11102010112020 its reverse (2021101020111), we get a palindrome (13123111132131).

The spelling of 11102010112020 in words is "eleven trillion, one hundred two billion, ten million, one hundred twelve thousand, twenty".