11001011120020 has 24 divisors (see below), whose sum is σ = 23102186419368. Its totient is φ = 4400392435200.

The previous prime is 11001011120003. The next prime is 11001011120023. The reversal of 11001011120020 is 2002111010011.

It can be written as a sum of positive squares in 4 ways, for example, as 3102854066064 + 7898157053956 = 1761492^2 + 2810366^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11001011119979 and 11001011120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001011120023) 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, 12245400 + ... + 13113040.

It is an arithmetic number, because the mean of its divisors is an integer number (962591100807).

Almost surely, 2^{11001011120020} is an apocalyptic number.

11001011120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001011120020 is an abundant number, since it is smaller than the sum of its proper divisors (12101175299348).

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

11001011120020 is a wasteful number, since it uses less digits than its factorization.

11001011120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501611 (or 1501609 counting only the distinct ones).

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

Adding to 11001011120020 its reverse (2002111010011), we get a palindrome (13003122130031).

The spelling of 11001011120020 in words is "eleven trillion, one billion, eleven million, one hundred twenty thousand, twenty".