11020101121000 has 32 divisors (see below), whose sum is σ = 25787036625480. Its totient is φ = 4408040448000.

The previous prime is 11020101120997. The next prime is 11020101121013. The reversal of 11020101121000 is 12110102011.

It can be written as a sum of positive squares in 4 ways, for example, as 2440275131044 + 8579825989956 = 1562138^2 + 2929134^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5510049561 + ... + 5510051560.

Almost surely, 2^{11020101121000} is an apocalyptic number.

11020101121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020101121000 is an abundant number, since it is smaller than the sum of its proper divisors (14766935504480).

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

11020101121000 is a wasteful number, since it uses less digits than its factorization.

11020101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020101142 (or 11020101128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11020101121000 its reverse (12110102011), we get a palindrome (11032211223011).

It can be divided in two parts, 110201011 and 21000, that added together give a palindrome (110222011).

The spelling of 11020101121000 in words is "eleven trillion, twenty billion, one hundred one million, one hundred twenty-one thousand".