11020101122000 has 40 divisors (see below), whose sum is σ = 26646604517832. Its totient is φ = 4408040448000.

The previous prime is 11020101121919. The next prime is 11020101122003. The reversal of 11020101122000 is 22110102011.

It can be written as a sum of positive squares in 4 ways, for example, as 3463737876544 + 7556363245456 = 1861112^2 + 2748884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020101122003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755023281 + ... + 2755027280.

Almost surely, 2^{11020101122000} is an apocalyptic number.

11020101122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020101122000 is an abundant number, since it is smaller than the sum of its proper divisors (15626503395832).

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

11020101122000 is an equidigital number, since it uses as much as digits as its factorization.

11020101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510050584 (or 5510050568 counting only the distinct ones).

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

Adding to 11020101122000 its reverse (22110102011), we get a palindrome (11042211224011).

The spelling of 11020101122000 in words is "eleven trillion, twenty billion, one hundred one million, one hundred twenty-two thousand".