10011011200020 has 72 divisors (see below), whose sum is σ = 30370079244960. Its totient is φ = 2669308896960.

The previous prime is 10011011200013. The next prime is 10011011200049. The reversal of 10011011200020 is 2000211011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011011199975 and 10011011200011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422510 + ... + 4695269.

It is an arithmetic number, because the mean of its divisors is an integer number (421806656180).

Almost surely, 2^{10011011200020} is an apocalyptic number.

10011011200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011011200020 is an abundant number, since it is smaller than the sum of its proper divisors (20359068044940).

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

10011011200020 is a wasteful number, since it uses less digits than its factorization.

10011011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126885 (or 6126880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011011200020 its reverse (2000211011001), we get a palindrome (12011222211021).

The spelling of 10011011200020 in words is "ten trillion, eleven billion, eleven million, two hundred thousand, twenty".