11001022101020 has 192 divisors, whose sum is σ = 28299371175936. Its totient is φ = 3510187591680.

The previous prime is 11001022100983. The next prime is 11001022101037. The reversal of 11001022101020 is 2010122010011.

It is a junction number, because it is equal to n+sod(n) for n = 11001022100992 and 11001022101010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48337814 + ... + 48564866.

It is an arithmetic number, because the mean of its divisors is an integer number (147392558208).

Almost surely, 2^{11001022101020} is an apocalyptic number.

11001022101020 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 11001022101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149685587968).

11001022101020 is an abundant number, since it is smaller than the sum of its proper divisors (17298349074916).

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

11001022101020 is a wasteful number, since it uses less digits than its factorization.

11001022101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227500 (or 227498 counting only the distinct ones).

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

Adding to 11001022101020 its reverse (2010122010011), we get a palindrome (13011144111031).

The spelling of 11001022101020 in words is "eleven trillion, one billion, twenty-two million, one hundred one thousand, twenty".